Articles with "summation theorems" as a keyword



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Some Summation Theorems for Generalized Hypergeometric Functions

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Published in 2018 at "Axioms"

DOI: 10.3390/axioms7020038

Abstract: Essentially, whenever a generalized hypergeometric series can be summed in terms of gamma functions, the result will be important as only a few such summation theorems are available in the literature. In this paper, we… read more here.

Keywords: summation; generalized hypergeometric; hypergeometric functions; theorems generalized ... See more keywords
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General Summation Formulas Contiguous to the q-Kummer Summation Theorems and Their Applications

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Published in 2021 at "Symmetry"

DOI: 10.3390/sym13061102

Abstract: This paper provides three classes of q-summation formulas in the form of general contiguous extensions of the first q-Kummer summation theorem. Their derivations are presented by using three methods, which are along the lines of… read more here.

Keywords: summation; summation formulas; hypergeometric functions; kummer summation ... See more keywords