Fractional Calculus of the Extended Hypergeometric Function
Here, our aim is to demonstrate some formulae of generalization of the extended hypergeometric function by applying fractional derivative operators. Furthermore, by applying certain integral transforms on the resulting formulas and develop a new futher generalized form of the fractional kinetic equa...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Sciendo
2020-03-01
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| Series: | Applied Mathematics and Nonlinear Sciences |
| Subjects: | |
| Online Access: | https://doi.org/10.2478/amns.2020.1.00035 |
| _version_ | 1818744783945859072 |
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| author | Şahin Recep Yağcı Oğuz |
| author_facet | Şahin Recep Yağcı Oğuz |
| author_sort | Şahin Recep |
| collection | DOAJ |
| description | Here, our aim is to demonstrate some formulae of generalization of the extended hypergeometric function by applying fractional derivative operators. Furthermore, by applying certain integral transforms on the resulting formulas and develop a new futher generalized form of the fractional kinetic equation involving the generalized Gauss hypergeometric function. Also, we obtain generating functions for generalization of extended hypergeometric function.. |
| first_indexed | 2024-12-18T02:49:48Z |
| format | Article |
| id | doaj.art-700d358c6466425c97af9ecd44cebb41 |
| institution | Directory Open Access Journal |
| issn | 2444-8656 |
| language | English |
| last_indexed | 2024-12-18T02:49:48Z |
| publishDate | 2020-03-01 |
| publisher | Sciendo |
| record_format | Article |
| series | Applied Mathematics and Nonlinear Sciences |
| spelling | doaj.art-700d358c6466425c97af9ecd44cebb412022-12-21T21:23:29ZengSciendoApplied Mathematics and Nonlinear Sciences2444-86562020-03-015136938410.2478/amns.2020.1.00035Fractional Calculus of the Extended Hypergeometric FunctionŞahin Recep0Yağcı Oğuz1Department of Mathematics, Kırıkkale University, Faculty of ScienceKırıkkale, TurkeyDepartment of Mathematics, Kırıkkale University, Faculty of ScienceKırıkkale, TurkeyHere, our aim is to demonstrate some formulae of generalization of the extended hypergeometric function by applying fractional derivative operators. Furthermore, by applying certain integral transforms on the resulting formulas and develop a new futher generalized form of the fractional kinetic equation involving the generalized Gauss hypergeometric function. Also, we obtain generating functions for generalization of extended hypergeometric function..https://doi.org/10.2478/amns.2020.1.00035gamma functionbeta functionhypergeometric functionsextended hypergeometric functionintegral transformsfractional calculus operatorsgenerating functionsprimary 33c15,33c20,33c60, 33d70secondary 26a33,33c65,33c90 |
| spellingShingle | Şahin Recep Yağcı Oğuz Fractional Calculus of the Extended Hypergeometric Function Applied Mathematics and Nonlinear Sciences gamma function beta function hypergeometric functions extended hypergeometric function integral transforms fractional calculus operators generating functions primary 33c15,33c20,33c60, 33d70 secondary 26a33,33c65,33c90 |
| title | Fractional Calculus of the Extended Hypergeometric Function |
| title_full | Fractional Calculus of the Extended Hypergeometric Function |
| title_fullStr | Fractional Calculus of the Extended Hypergeometric Function |
| title_full_unstemmed | Fractional Calculus of the Extended Hypergeometric Function |
| title_short | Fractional Calculus of the Extended Hypergeometric Function |
| title_sort | fractional calculus of the extended hypergeometric function |
| topic | gamma function beta function hypergeometric functions extended hypergeometric function integral transforms fractional calculus operators generating functions primary 33c15,33c20,33c60, 33d70 secondary 26a33,33c65,33c90 |
| url | https://doi.org/10.2478/amns.2020.1.00035 |
| work_keys_str_mv | AT sahinrecep fractionalcalculusoftheextendedhypergeometricfunction AT yagcıoguz fractionalcalculusoftheextendedhypergeometricfunction |