On Some Complete Monotonicity of Functions Related to Generalized k−Gamma Function
In this paper, we presented two completely monotonic functions involving the generalized k−gamma function Γkx and its logarithmic derivative ψkx, and established some upper and lower bounds for Γkx in terms of ψkx.
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2021-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2021/9941377 |
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| _version_ | 1850225499749482496 |
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| author | Hesham Moustafa Hanan Almuashi Mansour Mahmoud |
| author_facet | Hesham Moustafa Hanan Almuashi Mansour Mahmoud |
| author_sort | Hesham Moustafa |
| collection | DOAJ |
| description | In this paper, we presented two completely monotonic functions involving the generalized k−gamma function Γkx and its logarithmic derivative ψkx, and established some upper and lower bounds for Γkx in terms of ψkx. |
| format | Article |
| id | doaj-art-59185e7bd87d4bb28b29c03da3b9232a |
| institution | OA Journals |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-59185e7bd87d4bb28b29c03da3b9232a2025-08-20T02:05:20ZengWileyJournal of Mathematics2314-46292314-47852021-01-01202110.1155/2021/99413779941377On Some Complete Monotonicity of Functions Related to Generalized k−Gamma FunctionHesham Moustafa0Hanan Almuashi1Mansour Mahmoud2Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, EgyptMathematics Department, Faculty of Science, Jeddah University, Jeddah 21589, Saudi ArabiaMathematics Department, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi ArabiaIn this paper, we presented two completely monotonic functions involving the generalized k−gamma function Γkx and its logarithmic derivative ψkx, and established some upper and lower bounds for Γkx in terms of ψkx.http://dx.doi.org/10.1155/2021/9941377 |
| spellingShingle | Hesham Moustafa Hanan Almuashi Mansour Mahmoud On Some Complete Monotonicity of Functions Related to Generalized k−Gamma Function Journal of Mathematics |
| title | On Some Complete Monotonicity of Functions Related to Generalized k−Gamma Function |
| title_full | On Some Complete Monotonicity of Functions Related to Generalized k−Gamma Function |
| title_fullStr | On Some Complete Monotonicity of Functions Related to Generalized k−Gamma Function |
| title_full_unstemmed | On Some Complete Monotonicity of Functions Related to Generalized k−Gamma Function |
| title_short | On Some Complete Monotonicity of Functions Related to Generalized k−Gamma Function |
| title_sort | on some complete monotonicity of functions related to generalized k gamma function |
| url | http://dx.doi.org/10.1155/2021/9941377 |
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