FINITE INTEGRAL FORMULA INVOLVING ALEPH-FUNCTION AND GENERALIZED MITTAG-LEFFLER FUNCTION
The aim of this paper is to establish general definite integrals involving product of the Aleph function and the generalized Mittag-Leffler function with general arguments. This integral yields a number of known results as special cases. For the sake of illustration, several corollaries are also pre...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Petrozavodsk State University
2020-01-01
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| Series: | Проблемы анализа |
| Subjects: | |
| Online Access: | http://issuesofanalysis.petrsu.ru/article/genpdf.php?id=7030&lang=ru |
| _version_ | 1818356685205405696 |
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| author | D. Kumar F. Y. Ayant A. Singh P. K. Banerji |
| author_facet | D. Kumar F. Y. Ayant A. Singh P. K. Banerji |
| author_sort | D. Kumar |
| collection | DOAJ |
| description | The aim of this paper is to establish general definite integrals involving product of the Aleph function and the generalized Mittag-Leffler function with general arguments. This integral yields a number of known results as special cases. For the sake of illustration, several corollaries are also presented as special case of our main results. |
| first_indexed | 2024-12-13T20:01:08Z |
| format | Article |
| id | doaj.art-04ec21017df947b7a8a23bfad9b0fe1c |
| institution | Directory Open Access Journal |
| issn | 2306-3424 2306-3432 |
| language | English |
| last_indexed | 2024-12-13T20:01:08Z |
| publishDate | 2020-01-01 |
| publisher | Petrozavodsk State University |
| record_format | Article |
| series | Проблемы анализа |
| spelling | doaj.art-04ec21017df947b7a8a23bfad9b0fe1c2022-12-21T23:33:10ZengPetrozavodsk State UniversityПроблемы анализа2306-34242306-34322020-01-019(27)19610910.15393/j3.art.2020.7030FINITE INTEGRAL FORMULA INVOLVING ALEPH-FUNCTION AND GENERALIZED MITTAG-LEFFLER FUNCTIOND. Kumar0F. Y. Ayant1A. Singh2P. K. Banerji3College of AgricultureCollege Jean L'herminierBanasthali VidyapithJai Narain Vyas UniversityThe aim of this paper is to establish general definite integrals involving product of the Aleph function and the generalized Mittag-Leffler function with general arguments. This integral yields a number of known results as special cases. For the sake of illustration, several corollaries are also presented as special case of our main results.http://issuesofanalysis.petrsu.ru/article/genpdf.php?id=7030&lang=rualeph-function𝐼-function𝐻-functiongeneralized mittag-leffler function |
| spellingShingle | D. Kumar F. Y. Ayant A. Singh P. K. Banerji FINITE INTEGRAL FORMULA INVOLVING ALEPH-FUNCTION AND GENERALIZED MITTAG-LEFFLER FUNCTION Проблемы анализа aleph-function 𝐼-function 𝐻-function generalized mittag-leffler function |
| title | FINITE INTEGRAL FORMULA INVOLVING ALEPH-FUNCTION AND GENERALIZED MITTAG-LEFFLER FUNCTION |
| title_full | FINITE INTEGRAL FORMULA INVOLVING ALEPH-FUNCTION AND GENERALIZED MITTAG-LEFFLER FUNCTION |
| title_fullStr | FINITE INTEGRAL FORMULA INVOLVING ALEPH-FUNCTION AND GENERALIZED MITTAG-LEFFLER FUNCTION |
| title_full_unstemmed | FINITE INTEGRAL FORMULA INVOLVING ALEPH-FUNCTION AND GENERALIZED MITTAG-LEFFLER FUNCTION |
| title_short | FINITE INTEGRAL FORMULA INVOLVING ALEPH-FUNCTION AND GENERALIZED MITTAG-LEFFLER FUNCTION |
| title_sort | finite integral formula involving aleph function and generalized mittag leffler function |
| topic | aleph-function 𝐼-function 𝐻-function generalized mittag-leffler function |
| url | http://issuesofanalysis.petrsu.ru/article/genpdf.php?id=7030&lang=ru |
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