Recursion Formulas for Exton's triple Hypergeometric Functions
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This paper continues the study of recursion formulas of multivariable hyper-geometric functions. Earlier, in [4], the authors have given the recursion formulas for threevariable Lauricella functions, Srivastava's triple hypergeometric functions and k{variableLauricella functions. Further, in [5], we have obtained recursion formulas for the generaltriple hypergeometric function. We present here the recursion formulas for Exton's triplehypergeometric functions.
Abstract
This paper continues the study of recursion formulas of multivariable hyper-geometric functions. Earlier, in [4], the authors have given the recursion formulas for threevariable Lauricella functions, Srivastava's triple hypergeometric functions and k{variableLauricella functions. Further, in [5], we have obtained recursion formulas for the generaltriple hypergeometric function. We present here the recursion formulas for Exton's triplehypergeometric functions.
참고문헌 (8)
- H. Exton, "Hypergeometric functions of three variables", J. Indian Acad. Math., 4, pp.113~119 (1983)
- S. B. Opps, "Recursion formulas for Appell's hyperge-ometric function F2 with some applications to radiation field problems", Appl. Math. Comput., 207, pp.545~558 (2009)
- E. D. Rainville, "Special Functions" (1960), Chelsea Publishing Company
- V. Sahai, "Recursion formulas for multivariable hypergeometric functions", Asian-Eur. J. Math., 8, pp.1550082~ (2015)
- V. Sahai, "Recursion formulas for Srivastavas general triple hypergeometric functions", Asian-Eur. J. Math., 9, pp.1650063~ (2016)
- H. M. Srivastava, "Multiple Gaussian Hypergeometric Series" (1985), Halsted Press
- H. M. Srivastava, "A Treatise on Generating Functions" (1984), Halsted Press
- X. Wang, "Recursion formulas for Appell functions", Integral Transforms Spec. Funct., 23(6), pp.421~433 (2012)