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Some results on generalized hypergeometric polynomials†

Published online by Cambridge University Press:  24 October 2008

Manilal Shah
Manilal Shah
Affiliation:
Department of Mathematics, P.M.B.G. College, Indore (M.P.), India
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Abstract

In this paper, using a generalized hypergeometric polynomial defined by

where Δ(m, − n) denotes the set of m-parameters:

and m, n are positive integers, we have established some infinite series, transformations, integrals and expansion formulae for generalized hypergeometric polynomials. The polynomial is in a generalized form which yields many known polynomials with proper choice of parameters. Special cases have also been given.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 66 , Issue 1 , July 1969 , pp. 95 - 104
Copyright
Copyright © Cambridge Philosophical Society 1969

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References

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