Generalized fractional operators and their image formulas

Manish Kumar Bansal; Kottakkaran Sooppy Nisar; Junesang Choi; Devendra Kumar

Generalized fractional operators and their image formulas

Manish Kumar Bansal
, Kottakkaran Sooppy Nisar
, Junesang Choi
, Devendra Kumar

Mathematics

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

Numerous image formulae for a diversity of polynomials and functions subjected to a variety of fractional integrals and derivatives have been given. In this paper, we aimto construct image formulae for the product of incomplete H-functions and a general class of polynomials under the Katugampola fractional integral and derivative operators . We also provide some particular instances of our main findings in corollaries, among many others.

Original language	English
Pages (from-to)	222-235
Number of pages	14
Journal	Journal of Computational Analysis and Applications
Volume	30
Issue number	2
State	Published - Oct 2022

Keywords

Fox’s H-function
Fractional Integral operators
Incomplete H-functions
Mellin-Barnes type contour integral

Cite this

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title = "Generalized fractional operators and their image formulas",

abstract = "Numerous image formulae for a diversity of polynomials and functions subjected to a variety of fractional integrals and derivatives have been given. In this paper, we aimto construct image formulae for the product of incomplete H-functions and a general class of polynomials under the Katugampola fractional integral and derivative operators . We also provide some particular instances of our main findings in corollaries, among many others.",

keywords = "Fox{\textquoteright}s H-function, Fractional Integral operators, Incomplete H-functions, Mellin-Barnes type contour integral",

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AU - Bansal, Manish Kumar

AU - Nisar, Kottakkaran Sooppy

AU - Choi, Junesang

AU - Kumar, Devendra

PY - 2022/10

Y1 - 2022/10

N2 - Numerous image formulae for a diversity of polynomials and functions subjected to a variety of fractional integrals and derivatives have been given. In this paper, we aimto construct image formulae for the product of incomplete H-functions and a general class of polynomials under the Katugampola fractional integral and derivative operators . We also provide some particular instances of our main findings in corollaries, among many others.

AB - Numerous image formulae for a diversity of polynomials and functions subjected to a variety of fractional integrals and derivatives have been given. In this paper, we aimto construct image formulae for the product of incomplete H-functions and a general class of polynomials under the Katugampola fractional integral and derivative operators . We also provide some particular instances of our main findings in corollaries, among many others.

KW - Fox’s H-function

KW - Fractional Integral operators

KW - Incomplete H-functions

KW - Mellin-Barnes type contour integral

UR - https://www.scopus.com/pages/publications/85128218460

M3 - Article

AN - SCOPUS:85128218460

SN - 1521-1398

VL - 30

SP - 222

EP - 235

JO - Journal of Computational Analysis and Applications

JF - Journal of Computational Analysis and Applications

IS - 2

ER -

Generalized fractional operators and their image formulas

Abstract

Keywords

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