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A two-parameter deformation of the gamma function, associated functions, and some related inequalities
Published 10 Jul 2025 in math.CA | (2507.08888v1)
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 and associated Beta, Psi and Zeta functions. We also prove some inequalities for the corresponding Beta function and Polygamma functions.
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