caa a22 4500 445869305 CHVBK 20180317145507.0 cr unu---uuuuu 170323e20110501xx s 000 0 eng 10.1007/s00605-010-0197-9 doi (NATIONALLICENCE)springer-10.1007/s00605-010-0197-9 Absolutely monotonic functions related to Euler's gamma function and Barnes' double and triple gamma function [Elektronische Daten] [Stamatis Koumandos, Henrik Pedersen] It is shown that the remainders in asymptotic expansions of the logarithm of Barnes double and triple gamma function and Euler's gamma function are Laplace transformations of positive multiples of absolutely monotonic functions. Applications concerning positivity of sums involving Bernoulli numbers are given. Springer-Verlag, 2010 Double gamma function nationallicence Triple gamma function nationallicence Asymptotic expansion nationallicence Absolute monotonicity nationallicence Koumandos Stamatis Department of Mathematics and Statistics, The University of Cyprus, P. O. Box 20537, 1678, Nicosia, Cyprus aut Pedersen Henrik Department of Basic Sciences and Environment, Mathematics and Computer Science, Faculty of Life Sciences, University of Copenhagen, 40, Thorvaldsensvej, 1871, Frederiksberg C, Denmark aut Monatshefte für Mathematik Springer Vienna 163/1(2011-05-01), 51-69 0026-9255 163:1<51 2011 163 605 https://doi.org/10.1007/s00605-010-0197-9 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00605-010-0197-9 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Koumandos Stamatis Department of Mathematics and Statistics, The University of Cyprus, P. O. Box 20537, 1678, Nicosia, Cyprus aut NATIONALLICENCE 700 1- Pedersen Henrik Department of Basic Sciences and Environment, Mathematics and Computer Science, Faculty of Life Sciences, University of Copenhagen, 40, Thorvaldsensvej, 1871, Frederiksberg C, Denmark aut NATIONALLICENCE 773 0- Monatshefte für Mathematik Springer Vienna 163/1(2011-05-01), 51-69 0026-9255 163:1<51 2011 163 605 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer