On the integral \(\int ^{\infty}_{0}x^{\nu -1}(1+\beta x)^{- \lambda}\,\ln ^ mx\,dx\)

DOI10.1016/0377-0427(86)90070-1zbMath0591.65015OpenAlexW235081597MaRDI QIDQ1075011

K. S. Kölbig

Publication date: 1986

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0377-0427(86)90070-1

zbMATH Keywords

numbersinfinite seriesStirling numbersBell polynomialsEuler numbersBernoullidefinite integralslogarithmic integralsintegral tablesformula manipulationMellin integrals

Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15) Computation of special functions and constants, construction of tables (65D20) Other special functions (33E99)

Related Items (4)

The complete Bell polynomials for certain arguments in terms of Stirling numbers of the first kind ⋮ Some infinite integrals with powers of logarithms and the complete Bell polynomials ⋮ On the integral \(\int ^{1}_{0}x^{\nu -1}(1-x)^{-\lambda}\ln ^ mx\,dx\) ⋮ Evaluation of classes of definite integrals involving elementary functions via differentiation of special functions

Uses Software

• REDUCE

Cites Work

• [https://portal.mardi4nfdi.de/wiki/Publication:3039703 On the Integral � ∞ 0 e -μt t t ν- 1 log m t dt]
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