논문KCI 등재
Exton’s triple hypergeometric series associated with the Kampé de Fériet function
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By means of formal power series method and series rearrangement technique, the authors are to derive certain reducibility of Kampe de Feriet functions for the hypergeometric functions X_4, X_7, and X_8 of three variables defined earlier by Exton.
Abstract
By means of formal power series method and series rearrangement technique, the authors are to derive certain reducibility of Kampe de Feriet functions for the hypergeometric functions X_4, X_7, and X_8 of three variables defined earlier by Exton.
참고문헌 (14)
- "P. Appell et J. Kampe de Feriet, Fonctions Hypergeometriques et Hyperspheriques Polynomes D'Hermite" (1926), Gauthier Villars
- 최준상, "Remark on two results by Padmanabham for exton's triple hypergeometric series X_8", 호남수학학술지, 27(4), pp.603~608 (2005), 호남수학회
- H. Exton, "Hypergeometric function of three variables", Indian Acad. Maths, 4(2), pp.113~119 (1982)
- J. Kamp, "Les fonctions hypergeometriques d'ordre superieur a deux variables", C. R. Acad. Sci. Paris, 173, pp.401~404 (1921)
- Y.S. Kim, "Y.S. Kim, On certain reducibility of Kampe de Feriet function", Honam Math. Soc, 31(2), pp.167~176 (2009)
- G. Lauricella, "Sulle funzioni ipergeometriche a piu variabili", Rend. Circ. Mat. Palermo, 7, pp.111~158
- P. A. Padmanabham, "Expansions for a multiple hypergeometric function", Ganita, 54(1), pp.17~20 (2003)
- C. T. Preece, "The product of two generalized hypergeometric functions", Proc. Lon- don Math. Soc, 22, pp.370~380 (1924)
- E. D. Rainville, "Special functions" (1960), Macmillan Company
- S. Saran, "Hypergeometric functions of three variables" (1954), Ganita 5
- L. J. Slater, "Generalized hypergeometric functions" (1966), Cambridge Univ
- 최준상, "Series Associated with the Zeta and Related Functions" (2001), Kluwer Academic Publishers
- H. M. Srivastava, "Multiple Gaussian Hypergeometric Series" (1985), Halsted Press
- H. M. Srivastava, "A Treatise on Generating Functions" (1984), Halsted Press
관련 논문AI추천
A reducibility of Exton's triple hypergeometric series X₂최준상, Arjun K. Rathie대한수학회 · 대한수학회논문집2008 · 제23권 제2호On an extension formulas for the triple hypergeometric series $X_8$ due to Exton김용섭, Arjun K. Rathie대한수학회 · 대한수학회보2007 · 제44권 제4호A reducibility of Srivastava's triple hypergeometric series F(3)[x, y, z]최준상, Arjun K. Rathie, Xiaoxia Wang대한수학회 · 대한수학회논문집2013 · 제28권 제2호Recursion Formulas for Exton's triple Hypergeometric FunctionsAshish Verma, Vivek Sahai경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2016 · 제56권 제2호SUMMATION FORMULAS DERIVED FROM THE SRIVASTAVA’S TRIPLE HYPERGEOMETRIC SERIES HC김용섭, 최준상, Arjun kumar Rathie대한수학회 · 대한수학회논문집2010 · 제25권 제2호Certain reduction and transformation formulas for the Kamp\'{e} de F\'{e}riet functionArjun K. Rathie, Medhat A. Rakha대한수학회 · 대한수학회논문집2022 · 제37권 제2호
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