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Summary
Elutin Pavel Vyacheslavocish (Елютин Павел Вячеславович), physicists at Moscovia, year approximately 2009.
This image is used as Fig.7.1 at page 71 of book «Superfunctions»[1][2]
in order to show that physics provides motivations for the mathematical research [3][4][5][6]
This picture is not presented in the Russian version [7][8] of this book [9].
References
- ↑ https://www.amazon.co.jp/Superfunctions-Non-integer-holomorphic-functions-superfunctions/dp/6202672862 Dmitrii Kouznetsov. Superfunctions: Non-integer iterates of holomorphic functions. Tetration and other superfunctions. Formulas,algorithms,tables,graphics ペーパーバック – 2020/7/28
- ↑ https://mizugadro.mydns.jp/BOOK/468.pdf Dmitrii Kouznetsov (2020). Superfunctions: Non-integer iterates of holomorphic functions. Tetration and other superfunctions. Formulas, algorithms, tables, graphics. Publisher: Lambert Academic Publishing.
- ↑ 2009.10.09. Елютин П. В. Думаю, задача, понятая как “КОНТИНУАЛЬНОЕ ОБОБЩЕНИЕ ЛОГИСТИЧЕСКОГО ОТОБРАЖЕНИЯ”, будет стоить Ваших усилий и времени, если удастся выявить модель, порождением которой является закон движения X(t) - или определить континуальные характеристики X(t) (например, границы значений производных по времени). Private communication, Oct 9, 2009 5:32 PM JST.
- ↑ http://mizugadro.mydns.jp/PAPERS/2010logistir.pdf Д.Ю.Кузнецов. Континуальное обобщение логистического отображения. Вестник Московского Университета, Серия 3 (Физика, Астрономия), 2010, N2, стр.23-30.
- ↑ http://vmu.phys.msu.ru/abstract/2010/2/10-2-23/ D.Yu. Kouznetsov. Holomorphic extension of the logistic sequence. Moscow University Physics Bulletin 2010. 65. N 2. P. 91
- ↑ https://link.springer.com/article/10.3103/S0027134910020049 D. Yu. Kouznetsov. Holomorphic extension of the logistic sequence // Published: 05 June 2010, Volume 65, pages 91–98, (2010) Moscow University Physics Bulletin
- ↑ https://www.researchgate.net/profile/Dmitrii-Kouznetsov/publication/265468462_Superfunkcii_In_Russian/links/540fb8390cf2df04e75a3753/Superfunkcii-In-Russian.pdf Дмитрий Кузнецов. "Суперфункции". Lambert Academic Publishing, 2014.
- ↑ https://market.yandex.ru/product--dmitrii-kuznetsov-superfunktsii/1781909035?showOriginalKmEmptyOffer=1&ogV=-2 Дмитрий Кузнецов. "Суперфункции". Lambert Academic Publishing, 2014. // Собраны результаты по вычислению суперфункций, абельфункций и нецелых итераций. Для заданной голоморфной передаточной функции T, речь идет о решениях F передаточного уравнения F(z+1)=T(F(z)) . В частности, расмотрены суперфункции от факториала, экспоненты, синуса; предложены голоморфные обобщения логистической последовательности и функций Аскерманна..
- ↑ In 2014, The Author had said that the book is "Almost ready", and the Editor hurried up to publish it. However, actually it was a typical for all authors illusion; actually, the book not well ready that time, and then there was no time to add all the relevant figures. In such a way, the English version (2020) happens to be better than the Russian "original" (2014).
File history
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 08:06, 21 August 2025 | | 225 × 300 (36 KB) | T (talk | contribs) | == Summary == {{oq|Elutin.jpg|}} Elutin Pavel Vyacheslavocish (Елютин Павел Вячеславович), physicists at Moscovia, year approximately 2009. This image is used as Fig.7.1 at page 71 of book «Superfunctions»<ref> https://www.amazon.co.jp/Superfunctions-Non-integer-holomorphic-functions-superfunctions/dp/6202672862 Dmitrii Kouznetsov. Superfunctions: Non-integer iterates of holomorphic functions. Tetration and other superfunctions. Formulas,algorithms,tables,graphic... |
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