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
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.
引用
收藏
页码:39 / 47
页数:9
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