A Two‐Parameter Deformation of the Gamma Function, Associated Functions, and Some Related Inequalities

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.

MSC2020 Classification: Primary 26A48, 33B15; Secondary 26D0733C47