Evaluate More General Integrals Involving Universal Associated Legendre Polynomials via Taylor’s Theorem

DOI10.1088/0253-6102/68/2/177zbMath1375.33019OpenAlexW2742476880MaRDI QIDQ4595770

Chang-Yuan Chen, G. Yañez-Navarro, Guo-Hua Sun, Shi-Hai Dong, Dong-Sheng Sun

Publication date: 6 December 2017

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

Full work available at URL: https://doi.org/10.1088/0253-6102/68/2/177

zbMATH Keywords

Taylor's theoremparitydefinite integralsuniversal associated Legendre polynomials

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10)

Related Items (1)

A Note on the Generalized and Universal Associated Legendre Equations

Cites Work

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• The normalized wavefunctions of the Hartmann potential and explicit expressions for their radial average values
• Pseudospin symmetry and the relativistic ring-shaped non-spherical harmonic oscillator
• Exact solutions to a class of differential equation and some new mathematical properties for the universal associated-Legendre polynomials
• Ring-shaped potential and a class of relevant integrals involved universal associated Legendre polynomials with complicated arguments
• Universal Associated Legendre Polynomials and Some Useful Definite Integrals
• Solving Dirac Equation with New Ring-Shaped Non-Spherical Harmonic Oscillator Potential
• On Integrals Involving Universal Associated Legendre Polynomials and Powers of the Factor (1 −x²) and Their Byproducts

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