期刊
JOURNAL OF APPROXIMATION THEORY
卷 111, 期 2, 页码 298-314出版社
ACADEMIC PRESS INC
DOI: 10.1006/jath.2001.3578
关键词
Barnes double gamma function; asymptotic expansions
类别
The Barnes double gamma function G(z) is considered for large argument z. A new integral representation is obtained for log G(z). An asymptotic expansion in decreasing powers of : and uniformly valid for \ Arg z \ < pi is derived from this integral. The expansion is accompanied by an error bound at any order of the approximation. Numerical experiments show that this bound is very accurate for real z. The accuracy of the error bound decreases for increasing Arg z. (C) 2001 Academic Press.
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