$q$-Bernstein functions and applications

Abstract

We characterize of the $q$-Bernstein functions in terms of $q$-Laplace transform. Moreover, we present several results of $q$-completely monotonic, $q$-log completely monotonic and $q$-Bernstein functions.

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References in corpus (2)

• On the q-analogue of Laplace transform
• Some completely monotonic properties for the $(p,q)$-gamma function