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, 2020, Volume 181, Pages 9–15
DOI: https://doi.org/10.36535/0233-6723-2020-181-9-15 (Mi into652) 		 
Infinite products of binomials and partitions of numbers

M. P. Burlakova, V. M. Burlakovb

a Tver State University
b Penza State University
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DOI: https://doi.org/10.36535/0233-6723-2020-181-9-15
Abstract: In this paper, we consider expansions of functions into infinite products of power binomials. We also propose a formula for representing the exponential function by such products and formulas for calculating the number of partitions of natural numbers.
Keywords: infinite product, infinite system of linear equations, partition of a number.
Bibliographic databases:
Document Type: Article
UDC: 519.1
MSC: 05Е06, 11А06
Language: Russian
Citation: M. P. Burlakov, V. M. Burlakov, “Infinite products of binomials and partitions of numbers”, Proceedings of the International Conference "Classical and Modern Geometry" Dedicated to the 100th Anniversary of the Birth of Professor Vyacheslav Timofeevich Bazylev. Moscow, April 22-25, 2019. Part 3, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 181, VINITI, Moscow, 2020, 9–15
Citation in format AMSBIB
\Bibitem{BurBur20}
\by M.~P.~Burlakov, V.~M.~Burlakov
\paper Infinite products of binomials and partitions of numbers
\inbook Proceedings of the International Conference "Classical and Modern Geometry"
Dedicated to the 100th Anniversary of the Birth of Professor Vyacheslav Timofeevich Bazylev.
Moscow, April 22-25, 2019. Part 3
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2020
\vol 181
\pages 9--15
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into652}
\crossref{https://doi.org/10.36535/0233-6723-2020-181-9-15}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=4208363}
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