Certain Fractional Integral Formulas Involving the Product of Generalized Bessel Functions
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. Corresp...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | The Scientific World Journal |
| Online Access: | http://dx.doi.org/10.1155/2013/567132 |
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| author | D. Baleanu P. Agarwal S. D. Purohit |
| author_facet | D. Baleanu P. Agarwal S. D. Purohit |
| author_sort | D. Baleanu |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-d9379c1165c84f078d6909f4c465e3f7 |
| institution | Kabale University |
| issn | 1537-744X |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | The Scientific World Journal |
| spelling | doaj-art-d9379c1165c84f078d6909f4c465e3f72025-02-03T06:00:25ZengWileyThe Scientific World Journal1537-744X2013-01-01201310.1155/2013/567132567132Certain Fractional Integral Formulas Involving the Product of Generalized Bessel FunctionsD. Baleanu0P. Agarwal1S. D. Purohit2Department of Chemical and Materials Engineering, Faculty of Engineering, King Abdulaziz University, P.O. Box 80204, Jeddah 21589, Saudi ArabiaDepartment of Mathematics, Anand International College of Engineering, Jaipur 303012, IndiaDepartment of Basic-Sciences (Mathematics), College of Technology and Engineering, M.P. University of Agriculture and Technology, Udaipur 313001, IndiaWe 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.http://dx.doi.org/10.1155/2013/567132 |
| spellingShingle | D. Baleanu P. Agarwal S. D. Purohit Certain Fractional Integral Formulas Involving the Product of Generalized Bessel Functions The Scientific World Journal |
| title | Certain Fractional Integral Formulas Involving the Product of Generalized Bessel Functions |
| title_full | Certain Fractional Integral Formulas Involving the Product of Generalized Bessel Functions |
| title_fullStr | Certain Fractional Integral Formulas Involving the Product of Generalized Bessel Functions |
| title_full_unstemmed | Certain Fractional Integral Formulas Involving the Product of Generalized Bessel Functions |
| title_short | Certain Fractional Integral Formulas Involving the Product of Generalized Bessel Functions |
| title_sort | certain fractional integral formulas involving the product of generalized bessel functions |
| url | http://dx.doi.org/10.1155/2013/567132 |
| work_keys_str_mv | AT dbaleanu certainfractionalintegralformulasinvolvingtheproductofgeneralizedbesselfunctions AT pagarwal certainfractionalintegralformulasinvolvingtheproductofgeneralizedbesselfunctions AT sdpurohit certainfractionalintegralformulasinvolvingtheproductofgeneralizedbesselfunctions |