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

DOI10.1016/0377-0427(95)00028-3zbMath0855.65010OpenAlexW1966043054MaRDI QIDQ1919460

K. S. Kölbig, Walter Strampp

Publication date: 3 February 1997

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(95)00028-3

zbMATH Keywords

recurrenceinfinite integralspowers of logarithmscomplete Bell polynomialsrepetitive differentiation

Mathematics Subject Classification ID

Bell and Stirling numbers (11B73) Factorials, binomial coefficients, combinatorial functions (05A10) Computation of special functions and constants, construction of tables (65D20) Numerical quadrature and cubature formulas (65D32) Tables in numerical analysis (65A05)

Related Items (2)

Some properties of degenerate complete and partial Bell polynomials ⋮ Some new formulas of complete and incomplete degenerate Bell polynomials

Cites Work

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