On extension of the $_{r}R_{s,q}(α,β,z)$ function and their $q$-calculus
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2021
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| _version_ | 1866910698259349504 |
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| author | Shehata, Ayman Kumar, Dinesh |
| author_facet | Shehata, Ayman Kumar, Dinesh |
| contents | In this article, we investigate and establish some properties including analytic properties, contiguous relations, differential properties, differential operators, an expansion formula, and simple integrals, integral operators, some fractional integral properties, some new integral representations, the Riemann Liouville fractional $q$-derivative and $q$-integral operators of $q$-analogue of various basic $_{r}R_{s,q}$ function by using technique of $q$-calculus. Certain interesting consequences of the theorem are also discussed by considering some examples. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2104_09143 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | On extension of the $_{r}R_{s,q}(α,β,z)$ function and their $q$-calculus Shehata, Ayman Kumar, Dinesh Classical Analysis and ODEs Primary 26A33, 05A30, 33C20, 33C60., Secondary 44A20, 33E12, 47G10 In this article, we investigate and establish some properties including analytic properties, contiguous relations, differential properties, differential operators, an expansion formula, and simple integrals, integral operators, some fractional integral properties, some new integral representations, the Riemann Liouville fractional $q$-derivative and $q$-integral operators of $q$-analogue of various basic $_{r}R_{s,q}$ function by using technique of $q$-calculus. Certain interesting consequences of the theorem are also discussed by considering some examples. |
| title | On extension of the $_{r}R_{s,q}(α,β,z)$ function and their $q$-calculus |
| topic | Classical Analysis and ODEs Primary 26A33, 05A30, 33C20, 33C60., Secondary 44A20, 33E12, 47G10 |
| url | https://arxiv.org/abs/2104.09143 |