A Note on the Generalized and Universal Associated Legendre Equations

A class of second-order differential equations commonly arising in physics applications are considered, and their explicit hypergeometric solutions are provided. Further, the relationship with the Generalized and Universal Associated Legendre Equations are examined and established. The hypergeometri...

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Bibliographic Details
Published in:arXiv.org 2018-06
Main Authors: Kirk, Keegan L A, Bryenton, Kyle R, Saad, Nasser
Format: Article
Language:English
Subjects:
Differential equations
Mathematical analysis
Theoretical physics
Online Access:Get full text
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Summary:A class of second-order differential equations commonly arising in physics applications are considered, and their explicit hypergeometric solutions are provided. Further, the relationship with the Generalized and Universal Associated Legendre Equations are examined and established. The hypergeometric solutions, presented in this work, will promote future investigations of their mathematical properties and applications to problems in theoretical physics.
ISSN:2331-8422
DOI:10.48550/arxiv.1806.10237