Some infinite integrals with powers of logarithms and the complete Bell polynomials
type: Item
instance of: scholarly article
title: Some infinite integrals with powers of logarithms and the complete Bell polynomials
zbMATH Open document ID: 0855.65010
DOI: 10.1016/0377-0427(95)00028-3
author: K. S. Kölbig
author: Walter Strampp
published in: Journal of Computational and Applied Mathematics
publication date: 1997-02-03T00:00:00Z
review text: This paper proposes to introduce the complete Bell polynomials into the mathematical expression of some infinite integrals with powers of logarithms for easy understanding and explains the close relations between them.
Mathematics Subject Classification ID: 65D20
Mathematics Subject Classification ID: 65D32
Mathematics Subject Classification ID: 65A05
Mathematics Subject Classification ID: 11B73
Mathematics Subject Classification ID: 05A10
zbMATH DE Number: 908401
zbMATH Keywords: recurrence
zbMATH Keywords: repetitive differentiation
zbMATH Keywords: complete Bell polynomials
zbMATH Keywords: infinite integrals
zbMATH Keywords: powers of logarithms
reviewed by: Yasuhiro Kobayashi
MaRDI profile type: Publication
full work available at URL: 0377-0427(95)00028-3
OpenAlex ID: W1966043054
cites work: Q3331506
cites work: Q4769056
cites work: Q4275389
cites work: On the Integral � ∞ 0 e -μt t t ν- 1 log m t dt
cites work: On the integral \(\int ^{\infty}_{0}x^{\nu -1}(1+\beta x)^{- \lambda}\,\ln ^ mx\,dx\)
cites work: On the integral \(\int ^{1}_{0}x^{\nu -1}(1-x)^{-\lambda}\ln ^ mx\,dx\)
cites work: Q3243274
description: scientific article; zbMATH DE number 908401