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REMARK ON A SUMMATION FORMULA FOR THE SERIES 4F3(1)
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We aim to prove a known summation formula for the series 4F3(1) by mainly using a similar method as in [2], which is different from that in [3]. The method of proof here as well as that in [2] is potentially useful in getting some other summation formulas for pFq.
Abstract
We aim to prove a known summation formula for the series 4F3(1) by mainly using a similar method as in [2], which is different from that in [3]. The method of proof here as well as that in [2] is potentially useful in getting some other summation formulas for pFq.
참고문헌 (8)
- Junesang Choi, "Notes on formal manipulations of double series", 대한수학회논문집, 18(4), pp.781~789 (2003), 대한수학회
- J. Choi, "Note on the extended Watson's summation theorem for the series 4F3(1)" (2017)
- Y. S. Kim, "Extensions of certain classical summation theorems for the series 2F1, 3F2 and 4F3 with applications in Ramanujan's summations", Int. J. Math. Math. Sci, 2010, pp.26~ (2010)
- J. L. Lavoie, "Generalizations of Dixon's theorem on the sum of a 3F2", Math. Comput, 62, pp.267~276 (1994)
- J. L. Lavoie, "Generalizations of Whipple's theorem on the sum of a 3F2", J. Comput. Appl. Math, 72, pp.293~300 (1996)
- E. D. Rainville, "Special Functions" (1971), Reprinted by Chelsea Publishing Company
- L.J. Slater, "Generalized Hypergeometric Functions" (1966), Cambridge University Press
- H. M. Srivastava, "Zeta and q-Zeta Functions and Associated Series and Integrals" (2012), Elsevier Science Publishers
관련 논문AI추천
A NEW PROOF OF SAALSCHÜTZ'S THEOREM FOR THE SERIES 3F2(1) AND ITS CONTIGUOUS RESULTS WITH APPLICATIONS김용섭, Arjun Kumar Rathie대한수학회 · 대한수학회논문집2012 · 제27권 제1호GENERALIZATIONS OF TWO SUMMATION FORMULAS FOR THE GENERALIZED HYPERGEOMETRIC FUNCTION OF HIGHER ORDER DUE TO EXTON최준상, Arjun Kumar Rathie대한수학회 · 대한수학회논문집2010 · 제25권 제3호On a hypergeometric summation theorem due to Qureshi Et Al.최준상, Arjun K. Rathie대한수학회 · 대한수학회논문집2013 · 제28권 제3호Summation formulas of q-series by modified Abel's lemmaY. Zhang, Z. Zhang장전수학회 · Advanced Studies in Contemporary Mathematics2008 · 제17권 제2호A SUMMATION FORMULA FOR THE SERIES 3F2 DUE TO FOX AND ITS GENERALIZATIONS최준상, Arjun K. Rathie대한수학회 · 대한수학회논문집2015 · 제30권 제2호Further Extension of Two Results Involving ${}_0F_1$ due to Bailey최준상, Arjun Kumar Rathie, Frederick Groth, Prathima J영남수학회 · East Asian Mathematical Journal2018 · 제34권 제5호
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