논문KCI 등재
The Inverse Laplace Transform of a Wide Class of Special Functions
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Abstract
The aim of the present work is to obtain the inverse Laplace transform of theproduct of the factors of the types.i=1.sli + i. i , a general class of polynomials andthe multivariable H -function. The polynomials and the functions involved in our mainformula as well as their arguments are quite general in nature. On account of the generalnature of our main ndings, the inverse Laplace transform of the product of a large varietyof polynomials and numerous simple special functions involving one or more variables canbe obtained as simple special cases of our main result. We give here exact references tothe results of seven research papers that follow as simple special cases of our main result.
참고문헌 (13)
- "The G and H functions as symmetrical Fourier kernels", 98, pp.395~429 (1961)
- "On the inverse Laplace transform", 4, pp.1~5 (1990)
- "On the inverse Laplace transform of the product of ageneral class of polynomials and the multivariableH -function", math. sci, pp.21~24 (1990)
- "A unied inverse Laplace transform formula, functionsof practical importance andH -functions,", 1, pp.7~16 (2002)
- "Biorthogonal polynomials suggested by the Laguerre polynomials", 21, pp.303~314 (1967)
- "TheH -function with applications in statistic andother disciplines" (1978), Wiley Eastern Ltd.
- "The inverse Laplace transform of the product of Bessel and Whittakerfunctions", 40, pp.367~369 (1965)
- "A unied inverse Laplace transform formula involvingthe product of a general class of polynomials and the FoxH -function", 36, pp.87~92 (2005)
- "A contour integral involving Fox’sH -function", 14, pp.1~6 (1972)
- "The Weyl fractional integral of general class of polynomials", 6, pp.219~228 (1983)
- "The $H$-functions of one and two variables with applications" (1982), South Asian Publishers
- "Some bilateral generating functions for a class of generalized hypergeometric polynomials", 283, pp.284 (1976), 265~274
- "The integration of certain products of the multivariable $H$-function with a general class of polynomials}", 32, pp.157~187 (1983)
관련 논문AI추천
On the Laplace Transform and the Generalized Weyl Fractional Integral Operator Involving the H-functionR. Jain, R. Mukherjee, S. P. Goyal경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2004 · 제44권 제4호Some Theorems Connecting the Unified Fractional Integral Operators and the Laplace TransformDeepika Singh, R. C. Soni경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2005 · 제45권 제2호On a new nonlinear transformation and its applications to special functionsI. S. Gupta, L. Debnath장전수학회 · Advanced Studies in Contemporary Mathematics2007 · 제15권 제2호Some integral transforms involving extended generalized Gauss hypergeometric functions최준상, Jyotindra C. Prajapati, Krunal B. Kachhia, Sunil Dutt Purohit대한수학회 · 대한수학회논문집2016 · 제31권 제4호A Study of Modified H-transform and Fractional Integral OperatorKantesh Gupta경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2007 · 제47권 제4호A NOTE ON CERTAIN LAPLACE TRANSFORMS FOR THE GENERALIZED HYPERGEOMETRIC FUNCTION 3F3김인숙, 전성태한국수학교육학회 · 이론수학과 교직수학2018 · 제25권 제1호
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