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A Note on Multidimensional Fractional Calculus Operators Involving Gauss Hypergeometric Functions

R. K. Raina|Pramod Kr. Chhajed
경북대학교 자연과학대학 수학과|2005.03|Kyungpook Mathematical Journal|제45권 제1호|pp. 1-11

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Abstract

Making use of the multidimensional fractional calculus operators introduced in [20], this paper gives the images under these operators of the celebrated Fox’s H-function. Special cases are briefly point out, and some of the results are also studied on general spaces of functions M¸(Rn+ )

참고문헌 (15)

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  2. "Recent Advances in Fractional Calculus" (1993), Global Publishing Company
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  4. "An Introduction to the Fractional Calculus and FractionalDierential Equations" (1993), John Wiley and Sons.Inc.
  5. "Solvability of some Able-type integral equations involving the Gauss hypergeometric function as kernels in thespaces of summable functions", 43, pp.291~ (2001)
  6. "Fractional derivatives of theH -function", 7, pp.97~105 (1977)
  7. "On Weyl fractional calculus and H -function transform", 21, pp.275~279 (1981)
  8. "On composition of certain fractional integral operators", 15, pp.509~516 (1984)
  9. "On the multidimensional fractional dierintegrals of Riemann- Liouvilleand Weyl type", 7, pp.181~191 (1992)
  10. "A note on multidimensional modied fractional calculus operators", 106, pp.155~162 (1996)
  11. "A note on fractional calculus operators involving Fox’sH -function on spaceFp in Recent Advances in Fractional Calculus", pp.219~229 (1993), Global Publishing Company
  12. "TheH -functions of One and TwoVariables with Applications" (1982)
  13. "Introduction to the Theory of Fourier Integrals" (1986)
  14. "Multidimensional modified fractional calculus operators", 161, pp.253~270 (1993)
  15. "Multidimensional fractional calculus operators involving the Gauss hypergeometric function", 5(2), pp.141~160 (1996)

관련 논문AI추천

On 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 Integral Operators and Extended General- ized Gauss Hypergeometric Functions최준상, Praveen Agarwal, Shilpi Jain경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2015 · 제55권 제3호On 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 제4호Certain Fractional Integral Inequalities Involving Hypergeometric Operators최준상, Praveen Agarwal영남수학회 · East Asian Mathematical Journal2014 · 제30권 제3호Fractional calculus operators and their image formulas최준상, Praveen Agarwal대한수학회 · 대한수학회지2016 · 제53권 제5호A Study of Modified H-transform and Fractional Integral OperatorKantesh Gupta경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2007 · 제47권 제4호

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