The Origin and Mathematical Characteristics of the Super-Universal Associated-Legendre Polynomials

DOI10.1088/0253-6102/62/3/07zbMath1298.33013OpenAlexW1539535169MaRDI QIDQ2929115

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

Publication date: 11 November 2014

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

Full work available at URL: https://doi.org/10.1088/0253-6102/62/3/07

zbMATH Keywords

hypergeometric functionsJacobi polynomialsparitysuper-universal associated Legendre polynomialsdouble ring-shaped potential

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Hypergeometric functions associated with root systems (33C67)

Related Items (4)

Spin-orbit interaction for the double ring-shaped oscillator ⋮ Exact mapping between charge-monopole and position-dependent effective mass systems via Pauli equation ⋮ A Note on the Generalized and Universal Associated Legendre Equations ⋮ Exact solutions to a class of differential equation and some new mathematical properties for the universal associated-Legendre polynomials

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