Title of article
On Ruijsenaars’ asymptotic expansion of the logarithm of the double gamma function
Author/Authors
Stamatis Koumandos، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2008
Pages
8
From page
1125
To page
1132
Abstract
We study the remainder RN(x) in an asymptotic expansion due to S.N.M. Ruijsenaars, for the logarithm of the double gamma
function. We show that for any even number N the function (−1)
N2
−1RN(x) is completely monotonic on (0,∞). This proves a
recent conjecture of H.L. Pedersen. In addition, we give an estimate for the remainder RN(x) for N even.
© 2007 Elsevier Inc. All rights reserved
Keywords
Double zeta function , Error bounds , Asymptotic formulae , GeneralizedBernoulli polynomials , double gamma function , Completely monotonic functions
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2008
Journal title
Journal of Mathematical Analysis and Applications
Record number
936937
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