Evaluation of classes of definite integrals involving elementary functions via differentiation of special functions
type: Item
instance of: scholarly article
title: Evaluation of classes of definite integrals involving elementary functions via differentiation of special functions
zbMATH Open document ID: 0726.33015
DOI: 10.1007/BF01810298
author: N. E. Zubov
published in: Applicable Algebra in Engineering, Communication and Computing
publication date: 1990-01-01T00:00:00Z
review text: This paper evaluates three classes of definite integrals containing exponentials and logarithms by exploiting well known special functions, e.g., gamma, beta and incomplete gamma functions. Two of these classes incorporate and supersede all of Kölbig's formulae for evaluating Cauchy principal values. The third class exploits incomplete gamma function.
Mathematics Subject Classification ID: 33E20
Mathematics Subject Classification ID: 68W30
zbMATH DE Number: 4198466
zbMATH Keywords: symbolic computation
zbMATH Keywords: MAPLE
Wikidata QID: Q56638868
describes a project that uses: Maple
MaRDI profile type: Publication
cites work: Q5558293
cites work: Integration in finite terms with special functions: the error function
cites work: Integration in Finite Terms with Special Functions: The Logarithmic Integral
cites work: Q5827353
cites work: Q3835015
cites work: Explicit evaluation of certain definite integrals involving powers of logarithms
cites work: On the integral \(\int ^{\infty}_{0}x^{\nu -1}(1+\beta x)^{- \lambda}\,\ln ^ mx\,dx\)
cites work: The special functions and their approximations. Vol. I, II
cites work: Q4749793
cites work: The Problem of Integration in Finite Terms
cites work: PERTURBATIVE SOLUTIONS OF QUANTUM MECHANICAL PROBLEMS BY SYMBOLIC COMPUTATION: A REVIEW
description: scientific article; zbMATH DE number 4198466