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Generalizations of Dixon's and Whipple's Theorems on the Sum of a
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Abstract
In this paper we consider generalizations of the classical Dixon’s theorem and the classical Whipple’s theorem on the sum of a 3F2. The results are derived with the help of generalized Watson’s theorem obtained earlier by Mitra. A large number of results contiguous to Dixon’s and Whipple’s theorems obtained earlier by Lavoie, Grondin and Rathie, and Lavoie, Grondin, Rathie and Arora follow special cases of our main findings.
참고문헌 (4)
- "A Summation Formula of 6F5(1)", 19, pp.775~778 (2004)
- "Generalizations of Watson？s theorem onthe sum of a 3F2", pp.23~32 (1992)
- "Generalizations of Whipple？s theorem onthe sum of a 3F2", 72, pp.293~300 (1996)
- "Generalizations of Dixon？s theorem on the sum of a 3F2", pp.269~274 (1987)
관련 논문AI추천
Alternative 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 제3호Generalizations 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 제4호Certain summation formulas due to Ramanujan and their generalizations최준상, Arjun K. Rathie, Rachana Mathur, Shaloo Malani대한수학회 · 대한수학회보2005 · 제42권 제3호
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