On the fractional integrals and derivatives of Bateman's matrix polynomials
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arXiv
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| Main Authors: | , , , , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866910529838120960 |
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| author | Khammash, Ghazi S. Moustafa, Shimaa I. Mubeen, Shahid Nadarajah, Saralees Shehata, Ayman |
| author_facet | Khammash, Ghazi S. Moustafa, Shimaa I. Mubeen, Shahid Nadarajah, Saralees Shehata, Ayman |
| contents | The object of this paper is to investigate the certain results involving Bateman's matrix polynomials for integral index. We obtain some properties, integral representation and recurrence relations for hypergeometric matrix function. We introduce some matrix differential equations of the three order, integral transform and fractional integral formulas for hypergeometric matrix function by using the beta and Laplace transforms formula, Erdelyi Kober type fractional integral operators |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2308_13698 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | On the fractional integrals and derivatives of Bateman's matrix polynomials Khammash, Ghazi S. Moustafa, Shimaa I. Mubeen, Shahid Nadarajah, Saralees Shehata, Ayman General Mathematics The object of this paper is to investigate the certain results involving Bateman's matrix polynomials for integral index. We obtain some properties, integral representation and recurrence relations for hypergeometric matrix function. We introduce some matrix differential equations of the three order, integral transform and fractional integral formulas for hypergeometric matrix function by using the beta and Laplace transforms formula, Erdelyi Kober type fractional integral operators |
| title | On the fractional integrals and derivatives of Bateman's matrix polynomials |
| topic | General Mathematics |
| url | https://arxiv.org/abs/2308.13698 |