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arXiv · 2507.08888

A two-parameter deformation of the gamma function, associated functions, and some related inequalities

Anton Asare-Tuah·Emmanuel Djabang·Eyram A. K. Schwinger·Benoit F. Sehba·Ralph A. Twum
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Abstract

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.

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Anton Asare-Tuah, Emmanuel Djabang, Eyram A. K. Schwinger, Benoit F. Sehba, Ralph A. Twum. 2025-07-10. A two-parameter deformation of the gamma function, associated functions, and some related inequalities. https://arxiv.org/abs/2507.08888

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