East Asian mathematical journal
- Volume 17 Issue 1
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- Pages.129-133
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- 2001
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- 1226-6973(pISSN)
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- 2287-2833(eISSN)
OTHER PROOFS OF KUMMER'S SECOND THEOREM
- Malani, Shaloo (Department of Mathematics Govt. Dungar College, India) ;
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Choi, June-Sang
(Department of Mathematics College of Natural Sciences Dongguk University)
- Published : 2001.06.25
Abstract
The aim of this research note is to derive the well known Kummer's second theorem by transforming the integrals which represent some generalized hypergeometric functions. This theorem can also be shown by combining two known Bailey's and Preece's identities for the product of generalized hypergeometric series.
Keywords
- generalized hypergeometric series;
- duplication formula for the Gamma function;
- Kummer's second theorem;
- Gauss's summation theorems