On Integrals Involving Universal Associated Legendre Polynomials and Powers of the Factor (1 −x2) and Their Byproducts

DOI10.1088/0253-6102/66/4/369zbMath1375.33018OpenAlexW2531205453MaRDI QIDQ4596739

Yuan You, Fa-Lin Lu, Chang-Yuan Chen, Shi-Hai Dong, Dong-Sheng Sun

Publication date: 8 December 2017

Published in: Communications in Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0253-6102/66/4/369

zbMATH Keywords

generalized hypergeometric seriesparityuniversal associated Legendre polynomials

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Classical hypergeometric functions, ({}_2F_1) (33C05)

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Ring-shaped potential and a class of relevant integrals involved universal associated Legendre polynomials with complicated arguments ⋮ Evaluate More General Integrals Involving Universal Associated Legendre Polynomials via Taylor’s Theorem ⋮ Evaluation of more general integrals involving universal associated Legendre polynomials

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