논문KCI 등재
Certain summation formulas due to Ramanujan and their generalizations
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Abstract
The authors aim at deriving four generalized summationformulas, which, upon specializing their parameters, give manysummation identities including, especially, the four veryinteresting summation formulas due to Ramanujan. The results arederived with the help of generalized Dixon's theorem obtained earlier by Lavoie, Grondin, Rathie, and Arora.
참고문헌 (2)
- "and A.~K. Rathie \paperGeneralization of Whipple's theorem on the sum of a $", 72, pp.293~300
- "and K.Arora \paper Generalization of Dixon's theorem on the sum of a$"
관련 논문AI추천
On 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 제3호A Note on an Analogous Continued Fraction of RamanujanBhaskar Srivastava경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2005 · 제45권 제4호Explicit evaluations of Ramanujan's remarkable product of theta-functionM. C. Maheshkumar, M. S. M. Naika장전수학회 · Advanced Studies in Contemporary Mathematics2006 · 제13권 제2호Further Summation formulas for the Appell's Function $F_1$최준상, Arjun K. Rathie, Harshvardhan Harsh한국수학교육학회 · 이론수학과 교직수학2005 · 제12권 제3호Ramanujan's Continued Fraction, a Generalization and PartitionsBhaskar Srivastava경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2005 · 제45권 제2호Certain identities for a continued fraction of RamanujanK. S. Bairy, M. S. M. Naika, S. Chandankumar장전수학회 · Advanced Studies in Contemporary Mathematics2014 · 제24권 제1호
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