Displaying similar documents to “Some reduction formulas for multiple hypergeometric series”

Generating functions on extended Jacobi polynomials from Lie group view point.

Manik Chandra Mukherjee (1996)

Publicacions Matemàtiques

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Generating functions play a large role in the study of special functions. The present paper deals with the derivation of some novel generating functions of extended Jacobi polynomials by the application of [the] group-theoretic method introduced by Louis Weisner. In fact, by suitably interpreting the index (n) and the parameter (β) of the polynomial under consideration we define four linear partial differential operators and on showing that they generate a Lie-algebra, we obtain a new...

On the Generalized Associated Legendre Functions

Virchenko, Nina, Rumiantseva, Olena (2008)

Fractional Calculus and Applied Analysis

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Mathematics Subject Classification: 33C60, 33C20, 44A15 This paper is devoted to an important case of Wright’s hypergeometric function 2Fτ,β1(a, b; c; z) = 2Fτ,β1(z), to studying its basic properties and to application of 2Fτ,β1(z) to the generalization of the associated Legendre functions.