Binomial identities obtained from the Gegenbauer series expansion

IF 0.7 3区数学 Q2 MATHEMATICS

Integral Transforms and Special Functions Pub Date : 2023-08-11 DOI:10.1080/10652469.2023.2244648

O. Kouba

引用次数: 1

Abstract

ABSTRACT Using the Fourier–Gegenbauer series, we prove several identities that generalize known results. In particular, it is proved, that for all complex numbers such that and . In addition, for all nonnegative integers m, we obtain the Ramanujan-type series Which are known in the case m=0.

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Gegenbauer级数展开的二项式恒等式

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来源期刊

Integral Transforms and Special Functions 数学-数学

CiteScore

2.20

自引率

20.00%

发文量

审稿时长

6-12 weeks

期刊介绍： Integral Transforms and Special Functions belongs to the basic subjects of mathematical analysis, the theory of differential and integral equations, approximation theory, and to many other areas of pure and applied mathematics. Although centuries old, these subjects are under intense development, for use in pure and applied mathematics, physics, engineering and computer science. This stimulates continuous interest for researchers in these fields. The aim of Integral Transforms and Special Functions is to foster further growth by providing a means for the publication of important research on all aspects of the subjects.