Showing papers on "q-gamma function published in 2001"
TL;DR: In this paper, the largest number α = α(q, s) and the smallest number β = β(q and s) such that the inequalities hold for all positive real numbers x are defined.
Abstract: Let Γq (0 < q ≠ 1) be the q–gamma function and let s ∈ (0, 1) be a real number. We determine the largest number α = α(q, s) and the smallest number β = β(q, s) such that the inequalities
hold for all positive real numbers x. Our result refines and extends recently published inequalities by Ismail and Muldoon (1994).
35 citations