Relation of Some Known Functions in terms of Generalized Meijer G-Functions
The aim of this paper is to prove some identities in the form of generalized Meijer G-function. We prove the relation of some known functions such as exponential functions, sine and cosine functions, product of exponential and trigonometric functions, product of exponential and hyperbolic functions,...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2021-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2021/7032459 |
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| _version_ | 1850216643628630016 |
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| author | Syed Ali Haider Shah Shahid Mubeen Gauhar Rahman Jihad Younis |
| author_facet | Syed Ali Haider Shah Shahid Mubeen Gauhar Rahman Jihad Younis |
| author_sort | Syed Ali Haider Shah |
| collection | DOAJ |
| description | The aim of this paper is to prove some identities in the form of generalized Meijer G-function. We prove the relation of some known functions such as exponential functions, sine and cosine functions, product of exponential and trigonometric functions, product of exponential and hyperbolic functions, binomial expansion, logarithmic function, and sine integral, with the generalized Meijer G-function. We also prove the product of modified Bessel function of first and second kind in the form of generalized Meijer G-function and solve an integral involving the product of modified Bessel functions. |
| format | Article |
| id | doaj-art-3aff526890b74b659fd50f01c30c2c9e |
| institution | OA Journals |
| issn | 2314-4785 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-3aff526890b74b659fd50f01c30c2c9e2025-08-20T02:08:15ZengWileyJournal of Mathematics2314-47852021-01-01202110.1155/2021/7032459Relation of Some Known Functions in terms of Generalized Meijer G-FunctionsSyed Ali Haider Shah0Shahid Mubeen1Gauhar Rahman2Jihad Younis3Department of MathematicsDepartment of MathematicsDepartment of Mathematics and StatisticsDepartment of MathematicsThe aim of this paper is to prove some identities in the form of generalized Meijer G-function. We prove the relation of some known functions such as exponential functions, sine and cosine functions, product of exponential and trigonometric functions, product of exponential and hyperbolic functions, binomial expansion, logarithmic function, and sine integral, with the generalized Meijer G-function. We also prove the product of modified Bessel function of first and second kind in the form of generalized Meijer G-function and solve an integral involving the product of modified Bessel functions.http://dx.doi.org/10.1155/2021/7032459 |
| spellingShingle | Syed Ali Haider Shah Shahid Mubeen Gauhar Rahman Jihad Younis Relation of Some Known Functions in terms of Generalized Meijer G-Functions Journal of Mathematics |
| title | Relation of Some Known Functions in terms of Generalized Meijer G-Functions |
| title_full | Relation of Some Known Functions in terms of Generalized Meijer G-Functions |
| title_fullStr | Relation of Some Known Functions in terms of Generalized Meijer G-Functions |
| title_full_unstemmed | Relation of Some Known Functions in terms of Generalized Meijer G-Functions |
| title_short | Relation of Some Known Functions in terms of Generalized Meijer G-Functions |
| title_sort | relation of some known functions in terms of generalized meijer g functions |
| url | http://dx.doi.org/10.1155/2021/7032459 |
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