Pathway Fractional Integral Operator Associated with Certain Special Functions

1
Dr. V.B. L. Chaurasia
Dr. V.B. L. Chaurasia
2
Dr. V.B.L.Chaurasia
Dr. V.B.L.Chaurasia
3
Jaswant Singh
Jaswant Singh
1 University Of Rajasthan , Jaipur

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GJSFR Volume 12 Issue F9

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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.

15 Cites in Articles

References

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

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.

Dr. V.B. L. Chaurasia. 2012. \u201cPathway Fractional Integral Operator Associated with Certain Special Functions\u201d. 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
Pg. 81- 86
Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

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v1.2

Issue date

August 7, 2012

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English

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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.

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Pathway Fractional Integral Operator Associated with Certain Special Functions

Dr. V.B.L.Chaurasia
Dr. V.B.L.Chaurasia
Jaswant Singh
Jaswant Singh

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