Mathematical Inequalities & Applications · Volume 23, Issue 1 Some inequalities and an application of exponential polynomials 23-10 Pages 123-135 DOI 10.7153/mia-2020-23-10 Downloads Short PDF Full PDF PNG Authors Feng Qi Keywords exponential polynomial Bell number Touchard polynomial Bell polynomial of the second kind higher order derivative generating function Faà di Bruno's formula inversion theorem Stirling number of the first kind Stirling number of the second kind explicit formula absolute monotonicity complete monotonicity determinantal inequality product inequality logarithmic convexity logarithmic concavity white noise distribution theory Subject classes 11B83 11A25 11B73 11C08 11C20 15A15 26A24 26A48 26C05 26D05 33B10 34A05 60H40