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

DOI10.1007/s11139-021-00496-7OpenAlexW3204065586MaRDI QIDQ2675258

Marco Cantarini

Publication date: 21 September 2022

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2107.11969

zbMATH Keywords

hypergeometric functionscomplete elliptic integral of the first kindclosed formFourier-Legendre expansionClebsch-Gordan integral

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Generalized hypergeometric series, ({}_pF_q) (33C20) Elliptic functions and integrals (33E05) Elliptic integrals as hypergeometric functions (33C75)

Related Items (5)

A series evaluation technique based on a modified Abel lemma ⋮ Applications of Caputo operators in the evaluation of Clebsch–Gordan-type multiple elliptic integrals ⋮ New Clebsch–Gordan‐type integrals involving threefold products of complete elliptic integrals ⋮ On a higher-order version of a formula due to Ramanujan ⋮ Gosper's strange series: a new, simplified proof and generalizations

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