Infinite Products of Binomials and Partitions of Numbers

被引:0
作者
Burlakov M.P. [1 ]
Burlakov V.M. [2 ]
机构
[1] Tver State University, Tver
[2] Penza State University, Penza
关键词
05E06; 11A06; infinite product; infinite system of linear equations; partition of a number;
D O I
10.1007/s10958-023-06791-6
中图分类号
学科分类号
摘要
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. © 2023, Springer Nature Switzerland AG.
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页码:701 / 707
页数:6
相关论文
共 5 条
[1]  
Burlakov M.P., Introduction to the Specialty, (1985)
[2]  
Burlakov V.M., Burlakov M.P., A Memoir about Infinite Products, (2019)
[3]  
Euler L., Introduction to Analysis of the Infinite [English translation], (1988)
[4]  
Menshikov M.V., Revyakin A.M., Kopylova A.N., Makarov Y.N., Stechkin B.S., Combinatorial Analysis. Problems and Exercises [In Russian], (1982)
[5]  
Vinogradov I.M., Fundamentals of Number Theory, (1972)