논문KCI 등재
A Study of Modified H-transform and Fractional Integral Operator
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Abstract
In this paper, we establish a theorem wherein we have obtained the image of modified H-transform under the fractional integral operator involving Foxs H-function. Three corollaries of this theorem have also been derived. Further, we obtain one interesting integral by the application of the third corollary. The importance of above findings lies in the fact that our main theorem involves Fox H-function which is very general in nature. The result obtained earlier by Tariq (1998) is a special case of our main findings.
참고문헌 (5)
- "The G and H -functions as symmetrical Fourier kernels", pp.395~429 (1961)
- "Tables of Integrals" (1963), AcademicPress
- "The H -Functions with Applications in Statistics andother Disciplines" (1974), John Wiley and Sons
- "An integral involving generalized function of twovariables", pp.117~123 (1972)
- "On the two dimensional generalized Weyl frac-tional calculus associated with two dimensionalH -transform", 8, pp.63~73 (1995)
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 제2호A Note on Multidimensional Fractional Calculus Operators Involving Gauss Hypergeometric FunctionsPramod Kr. Chhajed, R. K. Raina경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2005 · 제45권 제1호On Applications of Weyl Fractional q-integral Operator to Generalized Basic Hypergeometric FunctionsRajendra Kumar Yadav, Sunil Dutt Purohit경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2006 · 제46권 제2호Certain Fractional Integrals and Image Formulas Of Generalized $\mathtt{k}$-Bessel Function최준상, Gurmej Singh, Mehar Chand, Praveen Agarwal대한수학회 · 대한수학회논문집2018 · 제33권 제2호SOME PROPERTIES OF GENERALIZED BESSEL FUNCTION ASSOCIATED WITH GENERALIZED FRACTIONAL CALCULUS OPERATORSAjay Kumar Shukla, Ankit Pal, Ranjan Kumar Jana대한수학회 · 대한수학회논문집2021 · 제36권 제1호
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