Some properties of the k-Gamma function
AbstractWe give completely monotonicity properties and inequalities for functions involving the Γ_k functions and their logarithmic derivatives ψ_k functions. We introduce a k-analogue of the Riemann Zeta function ζ_k as an integral and using Schwarz’s and Holder’s inequalities we obtain some inequalities relating ζ_k and Γ_k functions. The obtained results are the k-anologues of known results concerning functions involving the Gamma and psi functions.
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