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On partly bilateral and partly unilateral generating functions

Published online by Cambridge University Press:  17 February 2009

M. A. Pathan  and
Yasmeen
Yasmeen
Affiliation:
Department of Mathematics, Aligarh Muslim University, Aligarh 202 001, India.
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Abstract

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The purpose of this work is to begin the development of a theory of generating functions that will not only include the generating functions which are partly bilateral and partly unilateral but also provide a set of expansions, by taking successive partial derivatives with respect to one of the variables of the generating relations. Our starting point is a result of Exton [4] on associated Laguerre polynomials whose application gives certain generating functions of the polynomials of Jacobi and Appell, and functions of n variables of Lauricella.

Type
Research Article
Information
The ANZIAM Journal , Volume 28 , Issue 2 , October 1986 , pp. 240 - 245
Copyright
Copyright © Australian Mathematical Society 1986

References

Referenes

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