A two-parameter deformation of the gamma function, associated functions, and some related inequalities
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arXiv
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| Main Authors: | , , , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866914082118959104 |
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| author | Asare-Tuah, Anton Djabang, Emmanuel Schwinger, Eyram A. K. Sehba, Benoit F. Twum, Ralph A. |
| author_facet | Asare-Tuah, Anton Djabang, Emmanuel Schwinger, Eyram A. K. Sehba, Benoit F. Twum, Ralph A. |
| contents | In this paper, we introduce a new two-parameter deformation of the Gamma function that generalizes some existing Gamma-type functions in the literature. We study properties of this function that depend on the parameters. We also prove some inequalities for the corresponding beta function and polygamma functions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_08888 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A two-parameter deformation of the gamma function, associated functions, and some related inequalities Asare-Tuah, Anton Djabang, Emmanuel Schwinger, Eyram A. K. Sehba, Benoit F. Twum, Ralph A. Classical Analysis and ODEs 26A48, 33B15, 26D07, 33C47 In this paper, we introduce a new two-parameter deformation of the Gamma function that generalizes some existing Gamma-type functions in the literature. We study properties of this function that depend on the parameters. We also prove some inequalities for the corresponding beta function and polygamma functions. |
| title | A two-parameter deformation of the gamma function, associated functions, and some related inequalities |
| topic | Classical Analysis and ODEs 26A48, 33B15, 26D07, 33C47 |
| url | https://arxiv.org/abs/2507.08888 |