논문KCI 등재
A note on Gauss's second summation theorem for the series $_2 F_1 (1/2)$
대한수학회 (The Korean Mathematical Society)|2007.10|대한수학회논문집 (Communications of the KMS)|제22권 제4호|pp. 509-512
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Abstract
We aim at deriving Gauss’s second summation theorem forthe series2F1(1=2) by using Euler’s integral representation for2F1. Itseems that this method of proof has not been tried.
참고문헌 (1)
- "Series Associated with the Zeta and Related Functions" (2001), Kluwer Academic Publishers, Dordrecht, Boston, and London
관련 논문AI추천
Generalizations of Gauss's second summation theorem and Bailey's formula for the series $_2 F_1 (1/2)$김용섭, 최준상, Arjun K. Rathie대한수학회 · 대한수학회논문집2006 · 제21권 제3호Further Summation formulas for the Appell's Function $F_1$최준상, Arjun K. Rathie, Harshvardhan Harsh한국수학교육학회 · 이론수학과 교직수학2005 · 제12권 제3호A summation formula of ${}_6F_5(1)$최준상, Arjun K. Rathie, Shaloo Malani대한수학회 · 대한수학회논문집2004 · 제19권 제4호Another method for a Kummer-type transformation for a $_{2}F_2$ hypergeometric function최준상, Arjun K. Rathie대한수학회 · 대한수학회논문집2007 · 제22권 제3호Alternative Derivations of Certain Summation Formulas Contiguous to Dixon's Summation Theorem for a Hypergeometric 3F2 Series최준상, Arjun K. Rathie, Rachana Mathur, Shaloo Malani한국수학교육학회 · 이론수학과 교직수학2006 · 제13권 제4호On a new class of summation formulas involving generalized hypergeometric functionsArjun K. Rathie, Dongkyu Lim, Vidha Kulkarni, Yashoverdhan Vyas장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2023 · 제26권 제3호
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