Pathway Fractional Integral Operator Associated with Certain Special Functions

Dr. V.B.L.Chaurasia

Pathway Fractional Integral Operator Associated with Certain Special Functions

Dr. V.B.L.Chaurasia * §

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University of Rajasthan

Pathway Fractional Integral Operator Associated with Certain Special Functions

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Abstract

The aim; of the present paper is to study a pathway fractional integral operator concerning with the pathway model and pathway probability density of some product of special functions. The results derived here are quite general in nature, and hence encompass several cases of interest.

References

15 Cites in Article

Reference Format

V Chaurasia,Neeti Ghiya (2010). Pathway fractional integral operator pertaining to special functions.
V Chaurasia,Vinod Gill Pathway fractional integral operator involving Hfunctions.
Erdélyi (1953). Higher transcendental functions.
Charles Fox (1961). The $G$ and $H$ functions as symmetrical Fourier kernels.
Anatoly Kilbas,Megumi Saigo,R Saxena (2004). Generalized mittag-leffler function and generalized fractional calculus operators.
A Kilbas,H Srivastava,J Trugille (2006). Theory and applications of fractional differential equations.
A Mathai (2005). A pathway to matrix-variate gamma and normal densities.
A Mathai,H Haubold (2008). On generalized distributions and pathways.
A Mathai,H Haubold (2007). Pathway model, superstatistics, Tsallis statistics, and a generalized measure of entropy.
A Mathai,R Saxena (1978). The H-function with applications in Statistics and other Disciplines.
Seema Nair (2009). Pathway fractional integration operator.
P Skibiński (1970). Some expansion Theorems for the H-function.
Manoj Sharma,Renu Jain (2009). A note on a generalized M-series as a special function of fractional calculus.
E Wright (1934). The Asymptotic Expansion of the Generalized Bessel Function.
E Wright (1940). The generalized Bessel function of order greater than one.

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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. V.B.L.Chaurasia. 2012. "Pathway Fractional Integral Operator Associated with Certain Special Functions". Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 12 (GJSFR Volume 12 Issue F9).

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GJSFR Volume 12 Issue F9

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Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

Keywords

Fox H-function M-series Pathway fractional integral operator

Classification

GJSFR-F Classification MSC 2010: 45P05

Submission ReceivedJune 24, 2012
Peer Review Double Blind
Handling Editor
Accepted July 14, 2012
Published July 24, 2012

Version of record

v1.2

Issue date

August 7, 2012

Language

English

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Article Matrices

Total Score: 151

Country: India

Subject: Global Journal of Science Frontier Research

Authors: Dr. V.B.L.Chaurasia, Jaswant Singh (PhD/Dr. count: 1)

View Count (all-time): 221

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Total Downloads (simulated): 115

Publish Date: 2012 07, Tue

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Total Views: 1.8K

Total Downloads: 115

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