Explicit evaluations of log-log integrals
From MaRDI portal
Publication:6040582
DOI10.1007/s41478-022-00511-0zbMath1527.11068OpenAlexW4304687572MaRDI QIDQ6040582
Publication date: 19 May 2023
Published in: The Journal of Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s41478-022-00511-0
(zeta (s)) and (L(s, chi)) (11M06) Gamma, beta and polygamma functions (33B15) Integration of real functions of several variables: length, area, volume (26B15) Hurwitz and Lerch zeta functions (11M35) Numerical summation of series (65B10) Trigonometric moment problems in one variable harmonic analysis (42A70)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- (Almost) impossible integrals, sums, and series. With a foreword by Paul J. Nahin
- General order Euler sums with multiple argument
- Inside interesting integrals (with an introduction to contour integration). A collection of sneaky tricks, sly substitutions, and numerous other stupendously clever, awesomely wicked, and devilishly seductive maneuvers for computing hundreds of perplexing definite integrals from physics, engineering, and mathematics (plus numerous challenge problems with complete, detailed solutions)
- Explicit evaluation of some quadratic Euler-type sums containing double-index harmonic numbers
- Harmonic-binomial Euler-like sums via expansions of \((\arcsin x)^p\)
- Log-sine-polylog integrals and alternating Euler sums
- A family of shifted harmonic sums
- Extensions of Euler harmonic sums
- A restricted Epstein zeta function and the evaluation of some definite integrals
- Euler-like sums via powers of log, arctan and arctanh functions
- General order Euler sums with rational argument
- Integrals of logarithmic functions and alternating multiple zeta values
- SHIFTED HARMONIC SUMS OF ORDER TWO
This page was built for publication: Explicit evaluations of log-log integrals