INTEGRAL FORMULAE FOR CERTAIN PRODUCT OF SPECIAL FUNCTION GENERALIZED FRACTIONAL CALCULUS

Vinod Gill

INTEGRAL FORMULAE FOR CERTAIN PRODUCT OF SPECIAL FUNCTION GENERALIZED FRACTIONAL CALCULUS

Vinod Gill * §

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University of Rajasthan

INTEGRAL FORMULAE FOR CERTAIN PRODUCT OF SPECIAL FUNCTION GENERALIZED FRACTIONAL CALCULUS

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Abstract

Fractional calculus and special functions have contributed a lot to the science and engineering. In view of great importance and usefulness of fractional calculus operators in different directions, we derive the images of the product of certain special function under the multiple Erdélyi -Kober operator due to Galué et al. The result obtained are general in character and includes, as special cases, the result for Riemann -Liouville operator, Erdélyi -Kober operator and Saigo operator etc. involving the product of certain special function of general argument.

References

16 Cites in Article

Reference Format

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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

Vinod Gill. 1970. "INTEGRAL FORMULAE FOR CERTAIN PRODUCT OF SPECIAL FUNCTION GENERALIZED FRACTIONAL CALCULUS". Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 11 (GJSFR Volume 11 Issue F6).

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GJSFR Volume 11 Issue F6

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Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

Keywords

Erdélyi-Kober operator Fractional calclulus Jacobi polynomials Multivariable H-function Saigo operator Series representation of the H-function

Classification

GJSFR-F Classification MSC: 26A33

33C05

33C40

Submission ReceivedJuly 16, 2011
Peer Review Double Blind
Handling Editor
Accepted August 8, 2011
Published August 23, 2011

Version of record

v1.2

Language

English

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Article Matrices

Total Score: 145

Country: India

Subject: Global Journal of Science Frontier Research

Authors: Vinod Gill (PhD/Dr. count: 0)

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Publish Date: 2011 08, Tue

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