scientific article; zbMATH DE number 7590040
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Publication:5866649
zbMath1497.11209MaRDI QIDQ5866649
Publication date: 22 September 2022
Full work available at URL: https://scientia.mat.utfsm.cl/archivos/vol31/5.pdf
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(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)
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Explicit expressions for some linear Euler-type sums containing harmonic and skew-harmonic numbers ⋮ Log-hyperbolic tangent integrals and Euler sums ⋮ Explicit evaluations of log-log integrals ⋮ Logarithmic integrals with applications to BBP and Euler-type sums
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Cites Work
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- (Almost) impossible integrals, sums, and series. With a foreword by Paul J. Nahin
- Values of the Riemann zeta functions and integrals involving \(\log (2\sinh {\theta\over 2})\) and \(\log (2\sin {\theta\over 2})\)
- A family of shifted harmonic sums
- Approximation by special values of harmonic zeta function and log-sine integrals
- Extensions of Euler harmonic sums
- Mathematical Constants II
- Euler-like sums via powers of log, arctan and arctanh functions
- General order Euler sums with rational argument
- New interesting Euler sums
- SHIFTED HARMONIC SUMS OF ORDER TWO
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