Inequalities Involving $q$-Analogue of Multiple Psi Functions
Logarithmic derivative of the multiple gamma function is known as the multiple psi function. In this work $q$-analogue of multiple psi functions of order $n$ have been considered. Subadditive, superadditive and convexity properties of higher order derivatives of these functions are derived. Some rel...
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| Format: | Article |
| Language: | English |
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Académie des sciences
2020-07-01
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| Series: | Comptes Rendus. Mathématique |
| Online Access: | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.44/ |
| _version_ | 1797651560198569984 |
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| author | Das, Sourav |
| author_facet | Das, Sourav |
| author_sort | Das, Sourav |
| collection | DOAJ |
| description | Logarithmic derivative of the multiple gamma function is known as the multiple psi function. In this work $q$-analogue of multiple psi functions of order $n$ have been considered. Subadditive, superadditive and convexity properties of higher order derivatives of these functions are derived. Some related inequalities for these functions and their ratios are also obtained. |
| first_indexed | 2024-03-11T16:17:35Z |
| format | Article |
| id | doaj.art-b6a755598561444dbcf69b768c279bb2 |
| institution | Directory Open Access Journal |
| issn | 1778-3569 |
| language | English |
| last_indexed | 2024-03-11T16:17:35Z |
| publishDate | 2020-07-01 |
| publisher | Académie des sciences |
| record_format | Article |
| series | Comptes Rendus. Mathématique |
| spelling | doaj.art-b6a755598561444dbcf69b768c279bb22023-10-24T14:19:04ZengAcadémie des sciencesComptes Rendus. Mathématique1778-35692020-07-01358332733210.5802/crmath.4410.5802/crmath.44Inequalities Involving $q$-Analogue of Multiple Psi FunctionsDas, Sourav0https://orcid.org/0000-0003-2270-8109Department of Mathematics, National Institute of Technology Jamshedpur, Jharkhand-831014, IndiaLogarithmic derivative of the multiple gamma function is known as the multiple psi function. In this work $q$-analogue of multiple psi functions of order $n$ have been considered. Subadditive, superadditive and convexity properties of higher order derivatives of these functions are derived. Some related inequalities for these functions and their ratios are also obtained.https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.44/ |
| spellingShingle | Das, Sourav Inequalities Involving $q$-Analogue of Multiple Psi Functions Comptes Rendus. Mathématique |
| title | Inequalities Involving $q$-Analogue of Multiple Psi Functions |
| title_full | Inequalities Involving $q$-Analogue of Multiple Psi Functions |
| title_fullStr | Inequalities Involving $q$-Analogue of Multiple Psi Functions |
| title_full_unstemmed | Inequalities Involving $q$-Analogue of Multiple Psi Functions |
| title_short | Inequalities Involving $q$-Analogue of Multiple Psi Functions |
| title_sort | inequalities involving q analogue of multiple psi functions |
| url | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.44/ |
| work_keys_str_mv | AT dassourav inequalitiesinvolvingqanalogueofmultiplepsifunctions |