Superfunctions - Revision history

T: mention two more misprints

2026-02-08T12:05:10Z

mention two more misprints

T: add one more correction of the misprint to the Table

2026-02-07T07:30:15Z

add one more correction of the misprint to the Table

T: table of misprints

2026-01-11T13:36:56Z

table of misprints

T: misprints table

2026-01-11T12:14:29Z

misprints table

T: add misprint

2025-12-30T22:59:51Z

add misprint

T at 15:57, 21 December 2025

2025-12-21T15:57:38Z

T: table of misprints, add line

2025-12-21T12:53:13Z

table of misprints, add line

T: https

2025-12-14T12:02:01Z

https

Show changes

T: /* References */ suppress not valid links

2025-10-15T05:56:10Z

References: suppress not valid links

T at 09:50, 4 May 2025

2025-05-04T09:50:20Z

@@ Line 37: / Line 37: @@
 It is loaded as https://mizugadro.mydns.jp/BOOK/202.pdf
-{{fig|978-620-2-67286-3-full.jpg|440|-8|8|-8|cover}}
+{{fig|978-620-2-67286-3-full.jpg|400|0|8|-8|cover}}
 ==Covers==
@@ Line 224: / Line 224: @@
 <tr><th>place &nbsp; &nbsp;</th><th>printed &nbsp; &nbsp; </th><th>should be &nbsp; &nbsp; &nbsp;</th></tr>
 <tr><td>p.11, bottom of paragraph 2</td><td>pentaiton [64, 90]</td><td>pentation [64, 90]</td></tr>
-<tr><td>p.111, Eq.(9.18) &nbsp;</td><td>\(U_m\)</td><td>\(U_n\)</td></tr>
+<tr><td>p.110, Eq.(9.17) &nbsp;</td><td>\(U_m\)</td><td>\(U_n\cdot\)</td></tr>
 <tr><td>p.218, before Eq.(16.6) &nbsp;</td><td>equaiton</td><td>equation</td></tr>
 <tr><td>p.235, Fig.16.11 </td><td> по формуле </td><td> by Eq. </td></tr>

@@ Line 37: / Line 37: @@
 It is loaded as https://mizugadro.mydns.jp/BOOK/202.pdf
-{{fig|978-620-2-67286-3-full.jpg|440|-8|4|-8|cover}}
+{{fig|978-620-2-67286-3-full.jpg|440|-8|8|-8|cover}}
 ==Covers==
@@ Line 224: / Line 224: @@
 <tr><th>place &nbsp; &nbsp;</th><th>printed &nbsp; &nbsp; </th><th>should be &nbsp; &nbsp; &nbsp;</th></tr>
 <tr><td>p.11, bottom of paragraph 2</td><td>pentaiton [64, 90]</td><td>pentation [64, 90]</td></tr>
 <tr><td>p.218, before Eq.(16.6) &nbsp;</td><td>equaiton</td><td>equation</td></tr>
 <tr><td>p.235, Fig.16.11 </td><td> по формуле </td><td> by Eq. </td></tr>

@@ Line 228: / Line 228: @@
 <tr><td>p.236, line 1 </td><td> In the movel </td><td> . In the novel </td></tr>
 <tr><td>p.236, line 3 </td><td> 16.10 or 16.11, &nbsp; </td><td>(16.10) or (16.11), </td></tr>
 <tr><td>p.290, line 14 </td><td> The Emperor asker </td><td>The Emperor asked </td></tr>
 <tr><td>p.293, line 5  &nbsp;</td><td>

@@ Line 228: / Line 228: @@
 <tr><td>p.236, line 1 </td><td> In the movel </td><td> . In the novel </td></tr>
 <tr><td>p.236, line 3 </td><td> 16.10 or 16.11, &nbsp; </td><td>(16.10) or (16.11), </td></tr>
 <tr><td>p.295, line 6 from the bottom &nbsp;</td><td>equaiton</td><td>equation</td></tr>
 </table>

@@ Line 225: / Line 225: @@
 <tr><td>p.11, bottom of paragraph 2</td><td>pentaiton [64, 90]</td><td>pentation [64, 90]</td></tr>
 <tr><td>p.218, before Eq.(16.6) &nbsp;</td><td>equaiton</td><td>equation</td></tr>
 <tr><td>p.236, line 1 </td><td> In the movel </td><td> . In the novel </td></tr>
 <tr><td>p.236, line 3 </td><td> 16.10 or 16.11, &nbsp; </td><td>(16.10) or (16.11), </td></tr>

@@ Line 222: / Line 222: @@
 ==Misprints==
 <table>
-<tr><th>place</th><th>printed  &nbsp;  &nbsp; </th><th>should be  &nbsp;  &nbsp; </th></tr>
+<tr><th>place &nbsp; &nbsp;</th><th>printed &nbsp; &nbsp; </th><th>should be &nbsp; &nbsp; &nbsp;</th></tr>
-<tr><td>p.218 before Eq.(16.6) &nbsp; </td><td>equaiton</td><td>equation</td></tr>
+<tr><td>p.11, bottom of paragraph 2</td><td>pentaiton [64, 90]</td><td>pentation [64, 90]</td></tr>
 <tr><td>p.236, line 1 </td><td> In the movel </td><td> . In the novel </td></tr>
 <tr><td>p.236, line 3 </td><td> 16.10 or 16.11, &nbsp; </td><td>(16.10) or (16.11), </td></tr>
 </table>
@@ Line 231: / Line 233: @@
 The formalism of superfunctions and its description in the book took more efforts than it was expected.
-Consider to support the Author. (Then I shall be able to get and to publish more results.)
+Consider to support the Author and Editor. (Then I shall be able to get and to publish more results.)
-The Russian version somehow disappeared from the Lambert Avacemic Publishing site.
+To year 2025, the Russian version somehow disappeared from the [[Lambert Academic Publishing]] site.
 This may have deep meaning <ref>
 https://www.depo.ua/rus/svit/poeta-orlushi-02112014000500
@@ Line 243: / Line 245: @@
 Что им разговаривал Путин»
 (in Russian)
 ==References==
@@ Line 251: / Line 253: @@
 https://www.ams.org/mcom/2009-78-267/S0025-5718-09-02188-7/home.html<br>
 https://mizugadro.mydns.jp/PAPERS/2009analuxpRepri.pdf<br>
-D.Kouznetsov. Analytic solution of F(z+1)=exp(F(z)) in complex z-plane. Mathematics of Computation <b>78</b> (2009), 1647-1670.
+D.Kouznetsov. Analytic solution of F(z+1)=exp(F(z)) in complex z-plane. [[Mathematics of Computation]] <b>78</b> (2009), 1647-1670.
 https://www.jointmathematicsmeetings.org/journals/mcom/2010-79-271/S0025-5718-10-02342-2/S0025-5718-10-02342-2.pdf<br>
@@ Line 262: / Line 264: @@
 https://www.springerlink.com/content/qt31671237421111/fulltext.pdf?page=1<br>
 https://mizugadro.mydns.jp/PAPERS/2010superfae.pdf<br>
-D.Kouznetsov, H.Trappmann. Superfunctions and square root of factorial. [[Moscow University Physics Bulletin]], 2010, v.65, No.1, p.6-12.
+D.Kouznetsov, H.Trappmann. Superfunctions and square root of factorial. [[Moscow State University Physics Bulletin]], 2010, v.65, No.1, p.6-12.
 https://mizugadro.mydns.jp/PAPERS/2010vladie.pdf<br>
-D.Kouznetsov. Tetration as special function. Vladikavkaz Mathematical Journal, 2010, v.12, issue 2, p.31-45.
+D.Kouznetsov. Tetration as special function. [[Vladikavkaz Mathematical Journal]], 2010, v.12, issue 2, p.31-45.
 https://mizugadro.mydns.jp/t/index.php/Place_of_science_in_the_human_knowledge
-D.Kouznetsov. Place of science and physics in human knowledge. English translation from
+D.Kouznetsov. [[Place of science and physics in human knowledge]]. English translation from
 http://ufn.ru/tribune/trib120111
 Russian Physics:Uspekhi, v.191, Tribune, p.1-9 (2010)
 https://mizugadro.mydns.jp/PAPERS/2010logistie.pdf
-D.Kouznetsov. Continual generalisation of the Logistic sequence. Moscow State University Physics Bulletin, 3 (2010) No.2, стр.23-30.
+D.Kouznetsov. Continual generalisation of the Logistic sequence. [[Moscow State University Physics Bulletin]], 3 (2010) No.2, стр.23-30.
 https://www.ams.org/journals/mcom/0000-000-00/S0025-5718-2012-02590-7/S0025-5718-2012-02590-7.pdf <br>
 https://mizugadro.mydns.jp/PAPERS/2012e1eMcom2590.pdf<br>
 H.Trappmann, D.Kouznetsov. Computation of the Two Regular Super-Exponentials to base exp(1/e). [[Mathematics of Computation]], 2012,
 <b> 81</b>, February 8. p.2207-2227.
-<!-- http://link.springer.com/article/10.1007/s10043-013-0058-6<br> !-->
+https://link.springer.com/article/10.1007/s10043-013-0058-6<br>
 https://mizugadro.mydns.jp/PAPERS/2012or.pdf<br>
-Dmitrii Kouznetsov. Superfunctions for optical amplifiers. [[Optical Review]], July 2013, Volume 20, Issue 4, pp 321-326.
+Dmitrii Kouznetsov. Superfunctions for amplifiers. [[Optical Review]], July 2013, Volume 20, Issue 4, pp 321-326.
 https://www.scirp.org/journal/PaperInformation.aspx?PaperID=36560 <br>
 https://mizugadro.mydns.jp/PAPERS/2013jmp.pdf <br>
-D.Kouznetsov. TORI axioms and the applications in physics. Journal of Modern Physics, 2013, v.4, p.1151-1156.
+D.Kouznetsov. TORI axioms and the applications in physics. [[Journal of Modern Physics]], 2013, v.4, p.1151-1156.
 https://www.ingentaconnect.com/content/asp/asl/2013/00000019/00000003/art00071
 https://mizugadro.mydns.jp/PAPERS/2012thaiSuper.pdf
-D.Kouznetsov. Recovery of Properties of a Material from Transfer Function of a Bulk Sample (Theory). Advanced Science Letters, Volume 19, Number 3, March 2013, pp. 1035-1038(4).
+D.Kouznetsov. Recovery of Properties of a Material from Transfer Function of a Bulk Sample (Theory). [[Advanced Science Letters]], Volume 19, Number 3, March 2013, pp. 1035-1038(4).
 https://www.m-hikari.com/ams/ams-2013/ams-129-132-2013/kouznetsovAMS129-132-2013.pdf
 https://mizugadro.mydns.jp/PAPERS/2013hikari.pdf
-D.Kouznetsov. Entire function with logarithmic asymptotic. Applied Mathematical Sciences, 2013, v.7, No.131, p.6527-6541.
+D.Kouznetsov. Entire function with logarithmic asymptotic. [[Applied Mathematical Sciences]], 2013, v.7, No.131, p.6527-6541.
 https://www.pphmj.com/references/8246.htm
@@ Line 315: / Line 309: @@
 ==Keywords==
 «[[Abel function]]»,
 «[[Book]]»,
 «[[Doya function]]»,
@@ Line 323: / Line 319: @@
 «[[Pentation]]»,
 «[[Shoka function]]»,
 «[[Superfunction]]»,
 «[[SuperFactorial]]»,
 «[[SuSin]]»,
@@ Line 341: / Line 339: @@
 [[Category:Iterate]]
 [[Category:Superfunction]]
 [[Category:Tetration]]

@@ Line 254: / Line 254: @@
 D.Kouznetsov, H.Trappmann. Superfunctions and square root of factorial. [[Moscow University Physics Bulletin]], 2010, v.65, No.1, p.6-12.
-http://www.ils.uec.ac.jp/~dima/PAPERS/2010vladie.pdf<br>
+http://www.ils.uec.ac.jp/~dima/PAPERS/2010vladie.pdf<br>!-->
 http://mizugadro.mydns.jp/PAPERS/2010vladie.pdf<br>
 D.Kouznetsov. Tetration as special function. Vladikavkaz Mathematical Journal, 2010, v.12, issue 2, p.31-45.
@@ Line 266: / Line 267: @@
 Russian Physics:Uspekhi, v.191, Tribune, p.1-9 (2010)
-http://www.ils.uec.ac.jp/~dima/PAPERS/2010logistie.pdf
+http://www.ils.uec.ac.jp/~dima/PAPERS/2010logistie.pdf!-->
 http://mizugadro.mydns.jp/PAPERS/2010logistie.pdf
 D.Kouznetsov. Continual generalisation of the Logistic sequence. Moscow State University Physics Bulletin, 3 (2010) No.2, стр.23-30.
-http://www.ams.org/journals/mcom/0000-000-00/S0025-5718-2012-02590-7/S0025-5718-2012-02590-7.pdf <br>
+http://www.ams.org/journals/mcom/0000-000-00/S0025-5718-2012-02590-7/S0025-5718-2012-02590-7.pdf <br><!--
-http://www.ils.uec.ac.jp/~dima/PAPERS/2012e1eMcom2590.pdf<br>
+http://www.ils.uec.ac.jp/~dima/PAPERS/2012e1eMcom2590.pdf<br>!-->
 http://mizugadro.mydns.jp/PAPERS/2012e1eMcom2590.pdf<br>
 H.Trappmann, D.Kouznetsov. Computation of the Two Regular Super-Exponentials to base exp(1/e). [[Mathematics of Computation]], 2012,
 <b> 81</b>, February 8. p.2207-2227.
-<!-- http://link.springer.com/article/10.1007/s10043-013-0058-6<br> !-->
+<!-- http://link.springer.com/article/10.1007/s10043-013-0058-6<br>
-http://www.ils.uec.ac.jp/~dima/PAPERS/2012or.pdf<br>
+http://www.ils.uec.ac.jp/~dima/PAPERS/2012or.pdf<br>!-->
 http://mizugadro.mydns.jp/PAPERS/2012or.pdf<br>
 Dmitrii Kouznetsov. Superfunctions for optical amplifiers. [[Optical Review]], July 2013, Volume 20, Issue 4, pp 321-326.

@@ Line 29: / Line 29: @@
 <div class="thumb tright" style="float:right; margin:8px 0px 0px 12px; width:240px">
-{{pic|Tetreal10bx10d.jpg|240px}}<small><center>
+{{pic|Tetreal10bx10d.png|240px}}<small><center>
 <p style="line-height:100%">
 Explicit plot: [[tetration]].