Some infinite integrals with powers of logarithms and the complete Bell polynomials

被引：4
|
作者：
Kolbig, KS
Strampp, W
机构：
[1] CERN, COMP & NETWORKS DIV, CH-1211 GENEVA 23, SWITZERLAND
[2] GH KASSEL UNIV, FB MATH 17, D-34109 KASSEL, GERMANY
来源：
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 1996年 / 69卷 / 01期
关键词：
infinite integrals; complete Bell polynomials; differentiation; recurrence; gamma function;
D O I：
10.1016/0377-0427(95)00028-3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Modern computing tools, such as Computer Algebra, often allow a straightforward evaluation of mathematical expressions, for example by using recurrence relations. However, results so obtained may hide structures, which in some cases are not immediately recognized. This is discussed for a definite integral that is related to the higher derivatives of the gamma function. Two other, similar integrals are also considered.
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页码：39 / 47
页数：9
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