https://mizugadro.mydns.jp/t/index.php?title=Superfunctions&feed=atom&action=history
Superfunctions - Revision history
2024-03-28T22:01:07Z
Revision history for this page on the wiki
MediaWiki 1.31.16
https://mizugadro.mydns.jp/t/index.php?title=Superfunctions&diff=41698&oldid=prev
T: Link to morebook is not valid anymore; replace it with LAP
2023-07-16T11:33:48Z
<p>Link to morebook is not valid anymore; replace it with LAP</p>
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<td colspan="2" style="background-color: #fff; color: #222; text-align: center;">Revision as of 11:33, 16 July 2023</td>
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<td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>There is also Russian version "[[Суперфункции]]" (y. 2014)</div></td>
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<td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div><ref></div></td>
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<td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div><ref></div></td>
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<td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>https://www.<del class="diffchange diffchange-inline">morebooks</del>.<del class="diffchange diffchange-inline">de</del>/<del class="diffchange diffchange-inline">store</del>/<del class="diffchange diffchange-inline">ru</del>/<del class="diffchange diffchange-inline">book</del>/<del class="diffchange diffchange-inline">Суперфункции</del>/<del class="diffchange diffchange-inline">isbn</del>/978-3-659-56202-0</div></td>
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<td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>https://www.<ins class="diffchange diffchange-inline">lap-publishing</ins>.<ins class="diffchange diffchange-inline">com</ins>/<ins class="diffchange diffchange-inline">catalog</ins>/<ins class="diffchange diffchange-inline">details</ins>//<ins class="diffchange diffchange-inline">store</ins>/<ins class="diffchange diffchange-inline">gb/book</ins>/978-3-659-56202-0<ins class="diffchange diffchange-inline">/Суперфункции</ins></div></td>
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<td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Дмитрий Кузнецов. [[Суперфункции]].</div></td>
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<td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Дмитрий Кузнецов. [[Суперфункции]].</div></td>
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<td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>ISBN-13: 978-3-659-56202-0</div></td>
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<td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>ISBN-13: 978-3-659-56202-0</div></td>
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https://mizugadro.mydns.jp/t/index.php?title=Superfunctions&diff=41189&oldid=prev
T: /* References */
2023-04-14T01:03:02Z
<p><span dir="auto"><span class="autocomment">References</span></span></p>
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<td colspan="2" style="background-color: #fff; color: #222; text-align: center;">Revision as of 01:03, 14 April 2023</td>
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<td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>http://www.pphmj.com/references/8246.htm</div></td>
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<td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>http://mizugadro.mydns.jp/PAPERS/2014susin.pdf</div></td>
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<td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>http://mizugadro.mydns.jp/PAPERS/2014susin.pdf</div></td>
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<td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>D.Kouznetsov. Super sin. [[Far East <del class="diffchange diffchange-inline">Jourmal</del> of Mathematical Science]], v.85, No.2, 2014, pages 219-238.</div></td>
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<td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>D.Kouznetsov. Super sin. [[Far East <ins class="diffchange diffchange-inline">Journal</ins> of Mathematical Science]], v.85, No.2, 2014, pages 219-238.</div></td>
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<td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td>
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<td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>https://arxiv.org/pdf/2208.05328.pdf</div></td>
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<td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>https://arxiv.org/pdf/2208.05328.pdf</div></td>
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https://mizugadro.mydns.jp/t/index.php?title=Superfunctions&diff=41188&oldid=prev
T: /* References */
2023-04-14T00:57:09Z
<p><span dir="auto"><span class="autocomment">References</span></span></p>
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<td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>http://mizugadro.mydns.jp/PAPERS/2014susin.pdf</div></td>
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<td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>D.Kouznetsov. Super sin. [[Far East Jourmal of Mathematical Science]], v.85, No.2, 2014, pages 219-238.</div></td>
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<td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>D.Kouznetsov. Super sin. [[Far East Jourmal of Mathematical Science]], v.85, No.2, 2014, pages 219-238.</div></td>
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<td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"></td>
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<td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>https://arxiv.org/pdf/2208.05328.pdf</div></td>
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<td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>James David Nixon. Asymptotic Solutions of the Tetration Equation.</div></td>
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<td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>An analysis in the spirit of James Stirling. February 2022</div></td>
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https://mizugadro.mydns.jp/t/index.php?title=Superfunctions&diff=41062&oldid=prev
T: /* About the Book */
2023-02-23T13:23:37Z
<p><span dir="auto"><span class="autocomment">About the Book</span></span></p>
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<td colspan="2" style="background-color: #fff; color: #222; text-align: center;">Revision as of 13:23, 23 February 2023</td>
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<td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Tools for evaluation of superfunctions, abelfunctions and non-integer iterates of holomorphic functions are collected.</div></td>
<td class="diff-marker"> </td>
<td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Tools for evaluation of superfunctions, abelfunctions and non-integer iterates of holomorphic functions are collected.</div></td>
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<td class="diff-marker"> </td>
<td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>For a given transfer function T, the superfunction is solution F of the transfer equation F(z+1)=T(F(z)) . The abelfuction is inverse of F.</div></td>
<td class="diff-marker"> </td>
<td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>For a given transfer function T, the superfunction is solution F of the transfer equation F(z+1)=T(F(z)) . The abelfuction is inverse of F.</div></td>
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<td class="diff-marker">−</td>
<td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>In particular, <del class="diffchange diffchange-inline">thesuperfunctions</del> of factorial, exponent, sin; the holomorphic extensions of the logistic sequence and of the Ackermann functions are suggested. </div></td>
<td class="diff-marker">+</td>
<td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>In particular, <ins class="diffchange diffchange-inline">the superfunctions</ins> of factorial, exponent, sin; the holomorphic extensions of the logistic sequence and of the Ackermann functions are suggested. </div></td>
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<td class="diff-marker"> </td>
<td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>From ackermanns, the tetration (mainly to the base b>1) and pentation (to base e) are presented. The efficient algorithm for the evaluation of superfunctions and abelfunctions are described. The graphics and complex maps are plotted. The possible applications are discussed.</div></td>
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<td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>From ackermanns, the tetration (mainly to the base b>1) and pentation (to base e) are presented. The efficient algorithm for the evaluation of superfunctions and abelfunctions are described. The graphics and complex maps are plotted. The possible applications are discussed.</div></td>
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<td class="diff-marker"> </td>
<td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Superfunctions significantly extend the set of functions that can be used in scientific research and technical design.</div></td>
<td class="diff-marker"> </td>
<td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Superfunctions significantly extend the set of functions that can be used in scientific research and technical design.</div></td>
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https://mizugadro.mydns.jp/t/index.php?title=Superfunctions&diff=41061&oldid=prev
T: /* About the Book */
2023-02-23T13:21:48Z
<p><span dir="auto"><span class="autocomment">About the Book</span></span></p>
<table class="diff diff-contentalign-left" data-mw="interface">
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<td colspan="2" style="background-color: #fff; color: #222; text-align: center;">Revision as of 13:21, 23 February 2023</td>
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<td class="diff-marker"> </td>
<td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td>
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<td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Tools for evaluation of superfunctions, abelfunctions and non-integer iterates of holomorphic functions are collected.</div></td>
<td class="diff-marker"> </td>
<td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Tools for evaluation of superfunctions, abelfunctions and non-integer iterates of holomorphic functions are collected.</div></td>
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<td class="diff-marker">−</td>
<td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>For a <del class="diffchange diffchange-inline">giver</del> transfer function T, the superfunction is solution F of the transfer equation F(z+1)=T(F(z)) . The abelfuction is inverse of F.</div></td>
<td class="diff-marker">+</td>
<td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>For a <ins class="diffchange diffchange-inline">given</ins> transfer function T, the superfunction is solution F of the transfer equation F(z+1)=T(F(z)) . The abelfuction is inverse of F.</div></td>
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<td class="diff-marker"> </td>
<td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>In particular, thesuperfunctions of factorial, exponent, sin; the holomorphic extensions of the logistic sequence and of the Ackermann functions are suggested. </div></td>
<td class="diff-marker"> </td>
<td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>In particular, thesuperfunctions of factorial, exponent, sin; the holomorphic extensions of the logistic sequence and of the Ackermann functions are suggested. </div></td>
</tr>
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<td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>From ackermanns, the tetration (mainly to the base b>1) and pentation (to base e) are presented. The efficient algorithm for the evaluation of superfunctions and abelfunctions are described. The graphics and complex maps are plotted. The possible applications are discussed.</div></td>
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<td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>From ackermanns, the tetration (mainly to the base b>1) and pentation (to base e) are presented. The efficient algorithm for the evaluation of superfunctions and abelfunctions are described. The graphics and complex maps are plotted. The possible applications are discussed.</div></td>
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T
https://mizugadro.mydns.jp/t/index.php?title=Superfunctions&diff=41060&oldid=prev
T at 12:44, 23 February 2023
2023-02-23T12:44:50Z
<p></p>
<a href="https://mizugadro.mydns.jp/t/index.php?title=Superfunctions&diff=41060&oldid=36685">Show changes</a>
T
https://mizugadro.mydns.jp/t/index.php?title=Superfunctions&diff=36685&oldid=prev
T at 23:20, 2 May 2021
2021-05-02T23:20:17Z
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<td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>https://www.morebooks.de/store/gb/book/superfunctions/isbn/978-620-2-67286-3<br></div></td>
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<td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>https://www.amazon.com/Superfunctions-Non-integer-holomorphic-functions-superfunctions/dp/6202672862/ref=sr_1_1<br></div></td>
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<td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Dmitrii Kouznetsov. Superfunctions. Lambert Academic Publishing, 2020.</div></td>
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<td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Dmitrii Kouznetsov. Superfunctions. Lambert Academic Publishing, 2020.</div></td>
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T
https://mizugadro.mydns.jp/t/index.php?title=Superfunctions&diff=36684&oldid=prev
T at 23:19, 2 May 2021
2021-05-02T23:19:46Z
<p></p>
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<td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>[[Superfunctions]] is book about evaluation of [[abelfunction]]s, [[superfunction]]s, and the non-integer [[iterate]]s of holomorphic functions.</div></td>
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<td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>[[Superfunctions]] is book about evaluation of [[abelfunction]]s, [[superfunction]]s, and the non-integer [[iterate]]s of holomorphic functions.</div></td>
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<td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>In particular, results for [[tetration]], [[arctetration]] and [[iterate]]s of [[exponential]] are presented, ISBN 6202672862 </div></td>
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<td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>In particular, results for [[tetration]], [[arctetration]] and [[iterate]]s of [[exponential]] are presented, ISBN 6202672862 </div></td>
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<td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Superfunctions: Non-integer iterates of holomorphic functions. Tetration and other superfunctions. Formulas,algorithms,tables,graphics Paperback – July 28, 2020</div></td>
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<td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Superfunctions: Non-integer iterates of holomorphic functions. Tetration and other superfunctions. Formulas,algorithms,tables,graphics Paperback – July 28, 2020</div></td>
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<td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>by Dmitrii Kouznetsov (Author)//</div></td>
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<td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>by Dmitrii Kouznetsov (Author)//</div></td>
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T
https://mizugadro.mydns.jp/t/index.php?title=Superfunctions&diff=36683&oldid=prev
T: /* Recent advance */
2021-05-02T23:18:19Z
<p><span dir="auto"><span class="autocomment">Recent advance</span></span></p>
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<td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>Solving F(z + 1) = b<ins class="diffchange diffchange-inline"> ^</ins> F(z) in the complex plane.</div></td>
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<td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Advances in Computational Mathematics, December 2017, Volume 43, Issue 6, pp 1261–1282</div></td>
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https://mizugadro.mydns.jp/t/index.php?title=Superfunctions&diff=36676&oldid=prev
T at 23:02, 2 May 2021
2021-05-02T23:02:31Z
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