The remainder in Ruijs']jsenaars' asymptotic expansion of Barnes double gamma function

被引：11

作者：

Pedersen, Henrik L. ^{[1
]}

机构：

[1] Univ Copenhagen, Fac Life Sci, Dept Nat Sci, DK-1871 Copenhagen, Denmark

来源：

MEDITERRANEAN JOURNAL OF MATHEMATICS | 2007年 / 4卷 / 04期

关键词：

double gamma function; asymptotic expansion; complete monotonicity; multiple Bernoulli polynomial;

D O I：

10.1007/s00009-007-0127-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show that the remainder in Ruijsenaars' asymptotic expansion of the logarithm of Barnes double gamma function gives rise to a completely monotone function. Fourier expansions of the multiple Bernoulli polynomials are also obtained.

引用

页码：419 / 433

页数：15

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