Generalized Fractional Integral Formulas for the k-Bessel Function
The aim of this paper is to deal with two integral transforms involving the Appell function as their kernels. We prove some compositions formulas for generalized fractional integrals with k-Bessel function. The results are expressed in terms of generalized Wright type hypergeometric function and gen...
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2018/5198621 |
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| _version_ | 1849305435224408064 |
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| author | D. L. Suthar Mengesha Ayene |
| author_facet | D. L. Suthar Mengesha Ayene |
| author_sort | D. L. Suthar |
| collection | DOAJ |
| description | The aim of this paper is to deal with two integral transforms involving the Appell function as their kernels. We prove some compositions formulas for generalized fractional integrals with k-Bessel function. The results are expressed in terms of generalized Wright type hypergeometric function and generalized hypergeometric series. Also, the authors presented some related assertion for Saigo, Riemann-Liouville type, and Erdélyi-Kober type fractional integral transforms. |
| format | Article |
| id | doaj-art-07fb2a850f024f32b27caf5555a5ff5d |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-07fb2a850f024f32b27caf5555a5ff5d2025-08-20T03:55:27ZengWileyJournal of Mathematics2314-46292314-47852018-01-01201810.1155/2018/51986215198621Generalized Fractional Integral Formulas for the k-Bessel FunctionD. L. Suthar0Mengesha Ayene1Department of Mathematics, Wollo University, P.O. Box 1145, Dessie, EthiopiaDepartment of Physics, Wollo University, P.O. Box 1145, Dessie, EthiopiaThe aim of this paper is to deal with two integral transforms involving the Appell function as their kernels. We prove some compositions formulas for generalized fractional integrals with k-Bessel function. The results are expressed in terms of generalized Wright type hypergeometric function and generalized hypergeometric series. Also, the authors presented some related assertion for Saigo, Riemann-Liouville type, and Erdélyi-Kober type fractional integral transforms.http://dx.doi.org/10.1155/2018/5198621 |
| spellingShingle | D. L. Suthar Mengesha Ayene Generalized Fractional Integral Formulas for the k-Bessel Function Journal of Mathematics |
| title | Generalized Fractional Integral Formulas for the k-Bessel Function |
| title_full | Generalized Fractional Integral Formulas for the k-Bessel Function |
| title_fullStr | Generalized Fractional Integral Formulas for the k-Bessel Function |
| title_full_unstemmed | Generalized Fractional Integral Formulas for the k-Bessel Function |
| title_short | Generalized Fractional Integral Formulas for the k-Bessel Function |
| title_sort | generalized fractional integral formulas for the k bessel function |
| url | http://dx.doi.org/10.1155/2018/5198621 |
| work_keys_str_mv | AT dlsuthar generalizedfractionalintegralformulasforthekbesselfunction AT mengeshaayene generalizedfractionalintegralformulasforthekbesselfunction |