East Asian mathematical journal
- Volume 17 Issue 1
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- Pages.147-158
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- 2001
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- 1226-6973(pISSN)
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- 2287-2833(eISSN)
GAUSS SUMMATION THEOREM AND ITS APPLICATIONS
- Lee, Hyung-Jae (Department of Mathematics College of Natural Sciences Dongguk University) ;
- Cho, Young-Joon (Department of Mathematics College of Natural Sciences Pusan National University) ;
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Choi, June-Sang
(Department of Mathematics College of Natural Sciences Dongguk University)
- Published : 2001.06.25
Abstract
The Gauss summation theorem plays a key role in the theory of(generalized) hypergeometric series. The authors study several proofs of the theorem and consider some applications of it.
Keywords
- Abel's theorem;
- generalized hypergeometric series;
- duplication formula for the Gamma function;
- Gauss summation theorem