
doi: 10.1007/bf02857304
Inequalities and convexity properties known for the gamma function are extended to the q—gamma function, 0<q<1 . Applying some classical inequalities for convex functions, we deduce monotonicity results for several functions involving the q—gamma function. Further applications to the probability theory are given.
convexity, \(q\)-gamma functions, \(q\)-beta functions and integrals, completely monotonic functions, Convexity; q--Gamma function.
convexity, \(q\)-gamma functions, \(q\)-beta functions and integrals, completely monotonic functions, Convexity; q--Gamma function.
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