논문KCI 등재
A reducibility of Exton's triple hypergeometric series X₂
대한수학회 (The Korean Mathematical Society)|2008.04|대한수학회논문집 (Communications of the KMS)|제23권 제2호|pp. 187-189
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초록
We aim at presenting an interesting result for a reducibility of Exton’s triple hypergeometric series X₂. The identity to be given here is obtained by combining Exton’s Laplace integral representation for X₂ and Henrici’s formula for the product of three hypergeometric series.
Abstract
We aim at presenting an interesting result for a reducibility of Exton’s triple hypergeometric series X₂. The identity to be given here is obtained by combining Exton’s Laplace integral representation for X₂ and Henrici’s formula for the product of three hypergeometric series.
참고문헌 (5)
- A. Erd´elyi, "Higher Transcendental Functions" (1953), McGraw-Hill Book Company
- H. Exton, "Hypergeometric function of three variables", J. Indian Acad. Maths, 4(2), pp.113~119 (1982)
- P. Henrici, "A product theorem for hypergeometric series", SIAM J. Math. Anal, 18, pp.1513~1518 (1987)
- Per W. Karlsson, "A note on Henrici’s triple product theorem", Proc. Amer. Math. Soc, 110, pp.85~88 (1990)
- E. D. Rainville, "Special Functions" (1960), The Macmillan Company
관련 논문AI추천
A reducibility of Srivastava's triple hypergeometric series F(3)[x, y, z]최준상, Arjun K. Rathie, Xiaoxia Wang대한수학회 · 대한수학회논문집2013 · 제28권 제2호Exton’s triple hypergeometric series associated with the Kampé de Fériet function김용섭, 이창현장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2011 · 제14권 제4호Reduction Formulas for Srivastava's Triple Hypergeometric Series F(3)[x, y, z]최준상, Arjun K. Rathie, Xiaoxia Wang경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2015 · 제55권 제2호CERTAIN INTEGRAL REPRESENTATIONS OF EULER TYPE FOR THE EXTON FUNCTION X2최준상, HASANOV ANVARDJAN, TURAEV MAMASALI한국수학교육학회 · 이론수학과 교직수학2010 · 제17권 제4호CERTAIN INTEGRAL REPRESENTATIONS OF EULER TYPE FOR THE EXTON FUNCTION X8최준상, Anvar Hasanov, Mamasali Turaev대한수학회 · 대한수학회논문집2012 · 제27권 제2호On an extension formulas for the triple hypergeometric series $X_8$ due to Exton김용섭, Arjun K. Rathie대한수학회 · 대한수학회보2007 · 제44권 제4호
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