Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2023, Volume 220, Pages 28–32
DOI: https://doi.org/10.36535/0233-6723-2023-220-28-32 (Mi into1113) 		 
Infinite products of binomials with increasing degree

V. M. Burlakov

Penza State University
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DOI: https://doi.org/10.36535/0233-6723-2023-220-28-32
Abstract: In this paper, we considered infinite products of binomials with increasing degree of the variable. We present formulas for calculating power coefficients in infinite products representing smooth functions and propose a condition for the convergence of infinite products with increasing degree.
Keywords: infinite product, function expansion, exponential function.
Document Type: Article
UDC: 519.28
MSC: 05A15, 11A25, 26A99
Language: Russian
Citation: V. M. Burlakov, “Infinite products of binomials with increasing degree”, Proceedings of the International Conference «Classical and Modern Geometry» dedicated to the 100th anniversary of the birth of Professor Levon Sergeyevich Atanasyan (July 15, 1921—July 5, 1998).  Moscow, November 1–4, 2021. Part 1, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 220, VINITI, Moscow, 2023, 28–32
Citation in format AMSBIB
\Bibitem{Bur23}
\by V.~M.~Burlakov
\paper Infinite products of binomials with increasing degree
\inbook Proceedings of the International Conference «Classical and Modern Geometry» dedicated to the 100th anniversary of the birth of Professor Levon Sergeyevich Atanasyan (July 15, 1921—July 5, 1998). 
Moscow, November 1–4, 2021. Part 1
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2023
\vol 220
\pages 28--32
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into1113}
\crossref{https://doi.org/10.36535/0233-6723-2023-220-28-32}
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