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A class of hypergeometric polynomials

Published online by Cambridge University Press:  09 April 2009

H. M. Srivastava
H. M. Srivastava
Affiliation:
Department of MathematicsUniversity of Victoria Victoria, British Columbia V8W 2Y2, Canada
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Abstract

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The object of the present paper is first to derive an interesting unification (and generalization) of a fairly large number of finite summation formulas including, for example, those that appeared in this Journal recently. We then briefly remark on its various (known or new) special cases which are associated with certain classes of hypergeometric polynomials in one and two variables. We also give several further generalizations (involving multiple series with essentially arbitrary terms) which are shown to be applicable in the derivation of analogous summation formulas for hypergeometric series (and polynomials) in three and more variables. Finally, with a view to presenting relevance of these types of results in various seemingly diverse areas of applied sciences and engineering, some indication of applicability is provided.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 43 , Issue 2 , October 1987 , pp. 187 - 198
Copyright
Copyright © Australian Mathematical Society 1987

References

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