Certain Integral and Differential Formulas Involving the Product of Srivastava’s Polynomials and Extended Wright Function
Many authors have established various integral and differential formulas involving different special functions in recent years. In continuation, we explore some image formulas associated with the product of Srivastava’s polynomials and extended Wright function by using Marichev–Saigo–Maeda fractiona...
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-02-01
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| Series: | Fractal and Fractional |
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| Online Access: | https://www.mdpi.com/2504-3110/6/2/93 |
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| author | Saima Naheed Shahid Mubeen Gauhar Rahman Zareen A. Khan Kottakkaran Sooppy Nisar |
| author_facet | Saima Naheed Shahid Mubeen Gauhar Rahman Zareen A. Khan Kottakkaran Sooppy Nisar |
| author_sort | Saima Naheed |
| collection | DOAJ |
| description | Many authors have established various integral and differential formulas involving different special functions in recent years. In continuation, we explore some image formulas associated with the product of Srivastava’s polynomials and extended Wright function by using Marichev–Saigo–Maeda fractional integral and differential operators, Lavoie–Trottier and Oberhettinger integral operators. The obtained outcomes are in the form of the Fox–Wright function. It is worth mentioning that some interesting special cases are also discussed. |
| first_indexed | 2024-03-09T21:56:11Z |
| format | Article |
| id | doaj.art-df248b70fdba47d494943ddb05f390fd |
| institution | Directory Open Access Journal |
| issn | 2504-3110 |
| language | English |
| last_indexed | 2024-03-09T21:56:11Z |
| publishDate | 2022-02-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Fractal and Fractional |
| spelling | doaj.art-df248b70fdba47d494943ddb05f390fd2023-11-23T19:59:06ZengMDPI AGFractal and Fractional2504-31102022-02-01629310.3390/fractalfract6020093Certain Integral and Differential Formulas Involving the Product of Srivastava’s Polynomials and Extended Wright FunctionSaima Naheed0Shahid Mubeen1Gauhar Rahman2Zareen A. Khan3Kottakkaran Sooppy Nisar4Department of Mathematics, University of Sargodha, Sargodha 40100, PakistanDepartment of Mathematics, University of Sargodha, Sargodha 40100, PakistanDepartment of Mathematics and Statistics, Hazara University, Mansehra 21300, PakistanDepartment of Mathematical Sciences, College of Science, Princess Nourah bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi ArabiaDepartment of Mathematics, College of Arts and Sciences, Prince Sattam Bin Abdulaziz University, Wadi Aldawser 11991, Saudi ArabiaMany authors have established various integral and differential formulas involving different special functions in recent years. In continuation, we explore some image formulas associated with the product of Srivastava’s polynomials and extended Wright function by using Marichev–Saigo–Maeda fractional integral and differential operators, Lavoie–Trottier and Oberhettinger integral operators. The obtained outcomes are in the form of the Fox–Wright function. It is worth mentioning that some interesting special cases are also discussed.https://www.mdpi.com/2504-3110/6/2/93Wright functionSrivastava’s polynomialsfractional calculus operatorsLavoie–Trottier integral formulaOberhettinger integral formula |
| spellingShingle | Saima Naheed Shahid Mubeen Gauhar Rahman Zareen A. Khan Kottakkaran Sooppy Nisar Certain Integral and Differential Formulas Involving the Product of Srivastava’s Polynomials and Extended Wright Function Fractal and Fractional Wright function Srivastava’s polynomials fractional calculus operators Lavoie–Trottier integral formula Oberhettinger integral formula |
| title | Certain Integral and Differential Formulas Involving the Product of Srivastava’s Polynomials and Extended Wright Function |
| title_full | Certain Integral and Differential Formulas Involving the Product of Srivastava’s Polynomials and Extended Wright Function |
| title_fullStr | Certain Integral and Differential Formulas Involving the Product of Srivastava’s Polynomials and Extended Wright Function |
| title_full_unstemmed | Certain Integral and Differential Formulas Involving the Product of Srivastava’s Polynomials and Extended Wright Function |
| title_short | Certain Integral and Differential Formulas Involving the Product of Srivastava’s Polynomials and Extended Wright Function |
| title_sort | certain integral and differential formulas involving the product of srivastava s polynomials and extended wright function |
| topic | Wright function Srivastava’s polynomials fractional calculus operators Lavoie–Trottier integral formula Oberhettinger integral formula |
| url | https://www.mdpi.com/2504-3110/6/2/93 |
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