논문KCI 등재
Further Extension of Two Results Involving ${}_0F_1$ due to Bailey
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Bailey presented two interesting identities involving 0F1, which have been generalized by Choi and Rathie who used two hypergeometric summation formulas due to Qureshi et al. In this note, we aim to show how one can establish, in an elementary way, two generalized formulas in- volving 0F1 which include the above-mentioned identities as special cases.
Abstract
Bailey presented two interesting identities involving 0F1, which have been generalized by Choi and Rathie who used two hypergeometric summation formulas due to Qureshi et al. In this note, we aim to show how one can establish, in an elementary way, two generalized formulas in- volving 0F1 which include the above-mentioned identities as special cases.
참고문헌 (5)
- W. N. Bailey, "Products of generalized hypergeometric series", Proc. London Math. Soc., 28(2), pp.242~254 (1928)
- 최준상, "On a hypergeometric summation theorem due to Qureshi Et Al.", 대한수학회논문집, 28(3), pp.527~534 (2013), 대한수학회
- J. Choi, "A note on two results involving products of generalized hypergeometric functions", Int. J. Math. Anal., 10(12), pp.579~583 (2016)[DOI]
- M. I. Qureshi, "Some hypergeometric summation formulas and series identities associated with exponential and trigonometric functions", Integral Transforms Spec. Funct., 19(3-4), pp.267~276 (2008)[DOI]
- H. M. Srivastava, "Zeta and q-Zeta Functions and Associated Series and Integrals" (2012), Elsevier Science Publishers
관련 논문AI추천
On a hypergeometric summation theorem due to Qureshi Et Al.최준상, Arjun K. Rathie대한수학회 · 대한수학회논문집2013 · 제28권 제3호Two general hypergeometric transformation formulas최준상, Arjun K. Rathie대한수학회 · 대한수학회논문집2014 · 제29권 제4호A note on generalizations of Bailey's identity involving products of generalized hypergeometric seriesAdem Kilicman, Arjun K. Rathie, Shantha Kumari Kurumujji대한수학회 · 대한수학회논문집2022 · 제37권 제2호An Identity Involving Product of Generalized Hypergeometric Series 2F2김용섭, 최준상, Arjun Kumar Rathie경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2019 · 제59권 제2호Further hypergeometric identities deducible by fractional calculusArjun K. Rathie, Sebastien Gaboury대한수학회 · 대한수학회논문집2014 · 제29권 제3호REMARK ON A SUMMATION FORMULA FOR THE SERIES 4F3(1)최준상, Arjun K. Rathie, Yashoverdhan Vyas영남수학회 · East Asian Mathematical Journal2017 · 제33권 제5호
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