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$q$-Bernstein functions and applications

Published 9 Feb 2016 in math.CA and math.PR | (1602.02956v1)

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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