A two-parameter deformation of the gamma function, associated functions, and some related inequalities
Classical Analysis and ODEs
2025-10-10 v2
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.
Cite
@article{arxiv.2507.08888,
title = {A two-parameter deformation of the gamma function, associated functions, and some related inequalities},
author = {Anton Asare-Tuah and Emmanuel Djabang and Eyram A. K. Schwinger and Benoit F. Sehba and Ralph A. Twum},
journal= {arXiv preprint arXiv:2507.08888},
year = {2025}
}
Comments
12 pages