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ArticleOriginal scientific text

Title

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

Authors 1, 2

Affiliations

  1. Department of Mathematics and Statistics, M. L. Sukhadia University, Udaipur 313001, India
  2. S. M. B. Government College, Nathadwara, Rajasthan, India

Abstract

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.

Keywords

ENG
H-function of several variables, differential operator, expansion formulas, Appell functions, Lauricella functions, Kampé de Fériet function, generalized hypergeometric functions

Bibliography

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Annales Polonici Mathematici
1997/67/1
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Pages:
15-29
Main language of publication
English
Received
1995-01-06
Accepted
1996-06-30
Published
1997
Exact and natural sciences