Resumen
The exact solutions to a class of differential equation are studied. Some special cases are discussed for the central potentials, single ring-shaped potential and the angular Teukolsky equation. A new expression to the associated Legendre polynomials is found. Some new properties of the universal associated-Legendre polynomials (UALPs) including the generating function, Rodrigues' formula, parity, some special values and the recurrence relations are presented. A new different Rodrigues' formula of associated Legendre polynomials is also obtained.
Idioma original | Inglés |
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Páginas (desde-hasta) | 90-96 |
Número de páginas | 7 |
Publicación | Applied Mathematics Letters |
Volumen | 40 |
DOI | |
Estado | Publicada - feb. 2015 |