Euler Type Integrals and Integrals in Terms of Extended Beta Function
We derive the evaluations of certain integrals of Euler type involving generalized hypergeometric series. Further, we establish a theorem on extended beta function, which provides evaluation of certain integrals in terms of extended beta function and certain special polynomials. The possibility of e...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/686324 |
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| _version_ | 1849402330542243840 |
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| author | Subuhi Khan Mustafa Walid Al-Saad |
| author_facet | Subuhi Khan Mustafa Walid Al-Saad |
| author_sort | Subuhi Khan |
| collection | DOAJ |
| description | We derive the evaluations of certain integrals of Euler type involving generalized hypergeometric series. Further, we establish a theorem on extended beta function, which provides evaluation of certain integrals in terms of extended beta function and certain special polynomials. The possibility of extending some of the derived results to multivariable case is also investigated. |
| format | Article |
| id | doaj-art-8b5af79a9941400a8c1b9c8c74cc20f2 |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-8b5af79a9941400a8c1b9c8c74cc20f22025-08-20T03:37:33ZengWileyJournal of Mathematics2314-46292314-47852014-01-01201410.1155/2014/686324686324Euler Type Integrals and Integrals in Terms of Extended Beta FunctionSubuhi Khan0Mustafa Walid Al-Saad1Department of Mathematics, Aligarh Muslim University, Aligarh 202002, IndiaGeneral Requirements Unit, Fatima College of Health Sciences, Al Ain, UAEWe derive the evaluations of certain integrals of Euler type involving generalized hypergeometric series. Further, we establish a theorem on extended beta function, which provides evaluation of certain integrals in terms of extended beta function and certain special polynomials. The possibility of extending some of the derived results to multivariable case is also investigated.http://dx.doi.org/10.1155/2014/686324 |
| spellingShingle | Subuhi Khan Mustafa Walid Al-Saad Euler Type Integrals and Integrals in Terms of Extended Beta Function Journal of Mathematics |
| title | Euler Type Integrals and Integrals in Terms of Extended Beta Function |
| title_full | Euler Type Integrals and Integrals in Terms of Extended Beta Function |
| title_fullStr | Euler Type Integrals and Integrals in Terms of Extended Beta Function |
| title_full_unstemmed | Euler Type Integrals and Integrals in Terms of Extended Beta Function |
| title_short | Euler Type Integrals and Integrals in Terms of Extended Beta Function |
| title_sort | euler type integrals and integrals in terms of extended beta function |
| url | http://dx.doi.org/10.1155/2014/686324 |
| work_keys_str_mv | AT subuhikhan eulertypeintegralsandintegralsintermsofextendedbetafunction AT mustafawalidalsaad eulertypeintegralsandintegralsintermsofextendedbetafunction |