Generalized Neumann and Kapteyn expansions.

Exton, Harold

Displaying similar documents to “Generalized Neumann and Kapteyn expansions.”

Some expansions associated with Bessel and hypergeometric functions

H. M. Srivastava (1967)

Rendiconti del Seminario Matematico della Università di Padova

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Transformation formulas for terminating Saalschützian hypergeometric series of unit argument.

Bühring, Wolfgang (1995)

Journal of Applied Mathematics and Stochastic Analysis

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Some multiple Gaussian hypergeometric generalizations of Buschman-Srivastava theorem.

Qureshi, M.I., Sadiq Khan, M., Pathan, M.A. (2005)

International Journal of Mathematics and Mathematical Sciences

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A watsonian theorem for multiple series

H. M. Srivastava (1977)

Rendiconti del Seminario Matematico della Università di Padova

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Successive derivatives and finite expansions involving the H-function of one and more variables

C. M. Joshi, N. L. Joshi (1997)

Annales Polonici Mathematici

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Certain results including the successive derivatives of the H-function of one and more variables are established. These remove the limitations of Ławrynowicz's (1969) formulas and as a result extend the results of Skibiński [13] and various other authors. As an application some finite expansion formulas are also established, which reduce to hypergeometric functions of one and more variables that are of common interest.

Expansion Of Kampé De Fériet's Function

Manilal Shah (1975)

Publications de l'Institut Mathématique

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On the Neumann problem with combined nonlinearities

Jan Chabrowski, Jianfu Yang (2005)

Annales Polonici Mathematici

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We establish the existence of multiple solutions of an asymptotically linear Neumann problem. These solutions are obtained via the mountain-pass principle and a local minimization.

A class of finite $q$ -series. - III

H. M. Srivastava (1986)

Rendiconti del Seminario Matematico della Università di Padova

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Four-term recurrence relations for hypergeometric functions of the second order. I.

Harold Exton (1996)

Collectanea Mathematica

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Four-term recurrence relations for hypergeometric functions of the second order are deduced from generating functions involving elementary functions. Generalisations are indicated and an example is given of a five-term recurrence for the confluent hypergeometric function.