On the incomplete Lauricella matrix functions of several variables
Fuente:
arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2020
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| _version_ | 1866911735157358592 |
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| author | Verma, Ashish |
| author_facet | Verma, Ashish |
| contents | In this article, we introduce incomplete Lauricella matrix functions (ILMFs) of $n$ variables through application of the incomplete Pochhammer matrix symbols. Furthermore there is derivation of certain properties; matrix differential equation, integral formula, recursion formula and differentiation formula of the ILMFs. We also establish the connection between these matrix functions and other peculiar matrix functions; incomplete gamma matrix function, Laguerre, Bessel and modified Bessel matrix functions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2003_11419 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | On the incomplete Lauricella matrix functions of several variables Verma, Ashish Classical Analysis and ODEs 15A15, , 33C65, 33C45, 34A05 In this article, we introduce incomplete Lauricella matrix functions (ILMFs) of $n$ variables through application of the incomplete Pochhammer matrix symbols. Furthermore there is derivation of certain properties; matrix differential equation, integral formula, recursion formula and differentiation formula of the ILMFs. We also establish the connection between these matrix functions and other peculiar matrix functions; incomplete gamma matrix function, Laguerre, Bessel and modified Bessel matrix functions. |
| title | On the incomplete Lauricella matrix functions of several variables |
| topic | Classical Analysis and ODEs 15A15, , 33C65, 33C45, 34A05 |
| url | https://arxiv.org/abs/2003.11419 |