Some Representations of the Modified Degenerate Gamma Matrix Function
The main goal of this article is to extend the concept of special matrix functions through the study of modified degenerate Gamma matrix function. For this, the modified degenerate Gamma matrix function has been introduced and some of its properties have been established. The article also presents l...
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| Format: | Article |
| Language: | English |
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University of Maragheh
2024-10-01
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| Series: | Sahand Communications in Mathematical Analysis |
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| Online Access: | https://scma.maragheh.ac.ir/article_713008_7bc2c212d7814f0dc5c6e4ccb30f94b9.pdf |
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| _version_ | 1823859319360192512 |
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| author | İnci Ege Kwara Nantomah |
| author_facet | İnci Ege Kwara Nantomah |
| author_sort | İnci Ege |
| collection | DOAJ |
| description | The main goal of this article is to extend the concept of special matrix functions through the study of modified degenerate Gamma matrix function. For this, the modified degenerate Gamma matrix function has been introduced and some of its properties have been established. The article also presents limit representations, asymptotic equality, and infinite product representations. The new function of matrix argument is an analogue of the Gamma matrix function, and the properties are analogues of those satisfied by the Gamma matrix function. Upon taking the limit as $\lambda \to 0^{+}$, the established results reduce to the results of the Gamma matrix function. |
| format | Article |
| id | doaj-art-5188bdfd13bd489a975dfb3dfd5bf3e6 |
| institution | Kabale University |
| issn | 2322-5807 2423-3900 |
| language | English |
| publishDate | 2024-10-01 |
| publisher | University of Maragheh |
| record_format | Article |
| series | Sahand Communications in Mathematical Analysis |
| spelling | doaj-art-5188bdfd13bd489a975dfb3dfd5bf3e62025-02-11T05:27:48ZengUniversity of MaraghehSahand Communications in Mathematical Analysis2322-58072423-39002024-10-01214435810.22130/scma.2024.1989674.1258713008Some Representations of the Modified Degenerate Gamma Matrix Functionİnci Ege0Kwara Nantomah1Department of Mathematics, Faculty of Sciences, Aydın Adnan Menderes University, 09010, Aydin, Turkey.Department of Mathematics, School of Mathematical Sciences, C. K. Tedam University of Technology and Applied Sciences, P. O. Box 24, Navrongo, Upper-East Region, Ghana.The main goal of this article is to extend the concept of special matrix functions through the study of modified degenerate Gamma matrix function. For this, the modified degenerate Gamma matrix function has been introduced and some of its properties have been established. The article also presents limit representations, asymptotic equality, and infinite product representations. The new function of matrix argument is an analogue of the Gamma matrix function, and the properties are analogues of those satisfied by the Gamma matrix function. Upon taking the limit as $\lambda \to 0^{+}$, the established results reduce to the results of the Gamma matrix function.https://scma.maragheh.ac.ir/article_713008_7bc2c212d7814f0dc5c6e4ccb30f94b9.pdfmodified degenerate gamma functionmatrix functional calculusmatrix factorial functiongamma matrix functiondegenerate gamma matrix function |
| spellingShingle | İnci Ege Kwara Nantomah Some Representations of the Modified Degenerate Gamma Matrix Function Sahand Communications in Mathematical Analysis modified degenerate gamma function matrix functional calculus matrix factorial function gamma matrix function degenerate gamma matrix function |
| title | Some Representations of the Modified Degenerate Gamma Matrix Function |
| title_full | Some Representations of the Modified Degenerate Gamma Matrix Function |
| title_fullStr | Some Representations of the Modified Degenerate Gamma Matrix Function |
| title_full_unstemmed | Some Representations of the Modified Degenerate Gamma Matrix Function |
| title_short | Some Representations of the Modified Degenerate Gamma Matrix Function |
| title_sort | some representations of the modified degenerate gamma matrix function |
| topic | modified degenerate gamma function matrix functional calculus matrix factorial function gamma matrix function degenerate gamma matrix function |
| url | https://scma.maragheh.ac.ir/article_713008_7bc2c212d7814f0dc5c6e4ccb30f94b9.pdf |
| work_keys_str_mv | AT inciege somerepresentationsofthemodifieddegenerategammamatrixfunction AT kwaranantomah somerepresentationsofthemodifieddegenerategammamatrixfunction |