Turán-Type Inequalities for Gaussian Hypergeometric Functions, and Baricz's Conjecture
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arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866912004604690432 |
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| author | Qiu, Song-Liang Ma, Xiao-Yan Xiang, Xue-Yan |
| author_facet | Qiu, Song-Liang Ma, Xiao-Yan Xiang, Xue-Yan |
| contents | In 2007, Á. Baricz put forward a conjecture concerning Turán-type inequalities for Gaussian hypergeometric functions (see Conjecture \ref{ConjA} in Section \ref{Sec1}). In this paper, the authors disprove this conjecture with several methods, and present Turán-type double inequalities for Gaussian hypergeometric functions, and sharp bounds for complete and generalized elliptic integrals of the first kind. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_15723 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Turán-Type Inequalities for Gaussian Hypergeometric Functions, and Baricz's Conjecture Qiu, Song-Liang Ma, Xiao-Yan Xiang, Xue-Yan Classical Analysis and ODEs 33Co5, 33C75 In 2007, Á. Baricz put forward a conjecture concerning Turán-type inequalities for Gaussian hypergeometric functions (see Conjecture \ref{ConjA} in Section \ref{Sec1}). In this paper, the authors disprove this conjecture with several methods, and present Turán-type double inequalities for Gaussian hypergeometric functions, and sharp bounds for complete and generalized elliptic integrals of the first kind. |
| title | Turán-Type Inequalities for Gaussian Hypergeometric Functions, and Baricz's Conjecture |
| topic | Classical Analysis and ODEs 33Co5, 33C75 |
| url | https://arxiv.org/abs/2408.15723 |