Certain Fractional Integral Formulas Involving the Product of Generalized Bessel Functions

Joint Authors

Agarwal, Praveen
Baleanu, Dumitru
Purohit, Sunil Dutt

Source

The Scientific World Journal

Issue

Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-9, 9 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2013-11-28

Country of Publication

Egypt

No. of Pages

9

Main Subjects

Medicine
Information Technology and Computer Science

Abstract EN

We apply generalized operators of fractional integration involving Appell’s function F3(·) due to Marichev-Saigo-Maeda, to the product of the generalized Bessel function of the first kind due to Baricz.

The results are expressed in terms of the multivariable generalized Lauricella functions.

Corresponding assertions in terms of Saigo, Erdélyi-Kober, Riemann-Liouville, and Weyl type of fractional integrals are also presented.

Some interesting special cases of our two main results are presented.

We also point out that the results presented here, being of general character, are easily reducible to yield many diverse new and known integral formulas involving simpler functions.

American Psychological Association (APA)

Baleanu, Dumitru& Agarwal, Praveen& Purohit, Sunil Dutt. 2013. Certain Fractional Integral Formulas Involving the Product of Generalized Bessel Functions. The Scientific World Journal،Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-1012527

Modern Language Association (MLA)

Baleanu, Dumitru…[et al.]. Certain Fractional Integral Formulas Involving the Product of Generalized Bessel Functions. The Scientific World Journal No. 2013 (2013), pp.1-9.
https://search.emarefa.net/detail/BIM-1012527

American Medical Association (AMA)

Baleanu, Dumitru& Agarwal, Praveen& Purohit, Sunil Dutt. Certain Fractional Integral Formulas Involving the Product of Generalized Bessel Functions. The Scientific World Journal. 2013. Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-1012527

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1012527