Fractional Calculus Pertaining to Generalized H -Functions

α
Dr. Dinesh Choudhary
Dr. Dinesh Choudhary Ph.D., M.Phil., M.Sc.
σ
Dinesh Kumar
Dinesh Kumar
ρ
Jitendra Daiya
Jitendra Daiya
α Jai Narain Vyas University
σ University of Burdwan University of Burdwan

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Fractional Calculus Pertaining to Generalized H -Functions

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Abstract

This paper is devoted to study of a pair of unified and extended fractional integral operators involving the multivariable H-Function, I-Function and general class of polynomials. Mellin transforms of these operators are investigated. Further, some properties of these operators have also been investigated. On account of the general nature of the functions involved herein, a large number of fractional integral operators involving simpler functions can be obtained as special cases of our main results.

References

20 Cites in Article
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Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

Ethical Approval

No ethics committee approval was required for this article type.

Data Availability

Not applicable for this article.

How to Cite This Article

Dr. Dinesh Choudhary. 2014. \u201cFractional Calculus Pertaining to Generalized H -Functions\u201d. Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 14 (GJSFR Volume 14 Issue F3): .

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Issue Cover
GJSFR Volume 14 Issue F3
Pg. 25- 35
Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

Version of record

v1.2

Issue date

July 17, 2014

Language
en
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This paper is devoted to study of a pair of unified and extended fractional integral operators involving the multivariable H-Function, I-Function and general class of polynomials. Mellin transforms of these operators are investigated. Further, some properties of these operators have also been investigated. On account of the general nature of the functions involved herein, a large number of fractional integral operators involving simpler functions can be obtained as special cases of our main results.

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Fractional Calculus Pertaining to Generalized H -Functions

Dinesh Kumar
Dinesh Kumar University of Burdwan
Jitendra Daiya
Jitendra Daiya

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