Absolutely monotonic functions related to Euler's gamma function and Barnes' double and triple gamma function
Date
2011Source
Monatshefte fur MathematikVolume
163Issue
1Pages
51-69Google Scholar check
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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. © 2010 Springer-Verlag.
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