Explicit evaluation of certain definite integrals involving powers of logarithms

DOI10.1016/S0747-7171(85)80032-8zbMath0618.65008OpenAlexW2047313903MaRDI QIDQ1822444

K. S. Kölbig

Publication date: 1985

Published in: Journal of Symbolic Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0747-7171(85)80032-8

zbMATH Keywords

symbolic computationREDUCEpower series expansionsformula manipulationdefinite integrals involving powers of exponentials and logarithms

Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15) Computation of special functions and constants, construction of tables (65D20) Numerical quadrature and cubature formulas (65D32)

Related Items (5)

Series expansions of powers of arcsine, closed forms for special values of Bell polynomials, and series representations of generalized logsine functions ⋮ Computer algebra: Past and future ⋮ Logarithmic integrals, zeta values, and tiered binomial coefficients ⋮ Evaluation of classes of definite integrals involving elementary functions via differentiation of special functions ⋮ Formal solutions of differential equations

Uses Software

• REDUCE

Cites Work

• Closed expressions for ∫¹₀𝑡⁻¹𝑙𝑜𝑔ⁿ⁻¹𝑡log^{𝑝}(1-𝑡)𝑑𝑡
• [https://portal.mardi4nfdi.de/wiki/Publication:3039703 On the Integral � ∞ 0 e -μt t t ν- 1 log m t dt]
• [https://portal.mardi4nfdi.de/wiki/Publication:3671493 On the Integral � π/2 0 log n cosx log p sinx dx]
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