The overlap integral of three associated Legendre polynomials

DOI10.1016/S0893-9659(02)80004-0zbMath0996.33007OpenAlexW2075156351MaRDI QIDQ1609508

Shi-Hai Dong, Renato Lemus

Publication date: 15 August 2002

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0893-9659(02)80004-0

zbMATH Keywords

spherical harmonicsLegendre functionsoverlap integrals

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Spherical harmonics (33C55)

Related Items (7)

Quantum scattering by a Viviani's curve ⋮ New Clebsch–Gordan‐type integrals involving threefold products of complete elliptic integrals ⋮ On a higher-order version of a formula due to Ramanujan ⋮ Expansions over Legendre polynomials and infinite double series identities ⋮ Eigenvalues of the MOTS stability operator for slowly rotating Kerr black holes ⋮ Analytical angular solutions for the atom-diatom interaction potential in a basis set of products of two spherical harmonics: two approaches ⋮ The overlap integral of three associated Legendre polynomials

Cites Work

• The overlap integral of three associated Legendre polynomials
• A generalized formula for the integral of three associated Legendre polynomials
• A single-sum expression for the overlap integral of two associated Legendre polynomials
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