Some results involving generalized associated Legendre functions

In this paper, a new generalization of the associated Legendre functions of the first and the second kinds is introduced using the r-generalized Gauss hypergeometric function. The basic properties of these functions, in particular, some recurrence relations and differential and integral representati...

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Vydané v:	Integral transforms and special functions Ročník 23; číslo 2; s. 105 - 114
Hlavní autori:	Kalla, S. L., Virchenko, N., Lisetska, O.
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	Abingdon Taylor & Francis 01.02.2012 Taylor & Francis Ltd
Predmet:	Construction fractional operators Hypergeometric functions integral representations Integrals Inversions Legendre functions Mehler-Fock integral transform Primary: 33C47 Representations Secondary: 33C20 Transforms Whipple formulae
ISSN:	1065-2469, 1476-8291
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