A note on Clebsch-Gordan integral, Fourier-Legendre expansions and dosed form for hypergeometric series

被引：6
|
作者：
Cantarini, Marco [1 ]
机构：
[1] Univ Politecn Marche, Dipartimento Ingn Ind & Sci Matemat, Via Brecce Bianche 12, I-60131 Ancona, Italy
来源：
RAMANUJAN JOURNAL | 2022年 / 59卷 / 02期
关键词：
Hypergeometric functions; Fourier-Legendre expansion; Clebsch-Gordan integral; Complete elliptic integral of the first kind; Closed form; CESARO AVERAGE; INTERPLAY;
D O I：
10.1007/s11139-021-00496-7
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we show that a closed-form formula for the generalized Clebsch-Gordan integral and the Fourier-Legendre expansion theory allow to evaluate hypergeometric series involving powers of the normalized central binomial coefficient 1/4(n )((2n)(n)).
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页码：549 / 557
页数：9
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