Certain logarithmic integrals and associated Euler sums
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Publication:6558302
DOI10.1016/J.JMAA.2024.128365zbMATH Open1540.11112MaRDI QIDQ6558302
Publication date: 19 June 2024
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
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(zeta (s)) and (L(s, chi)) (11M06) Gamma, beta and polygamma functions (33B15) Higher logarithm functions (33B30)
Cites Work
- On some series containing \(\psi{}(x)-\psi{}(y)\) and \((\psi{}(x)- \psi{}(y))^ 2\) for certain values of \(x\) and \(y\)
- Four parametric linear Euler sums
- On the interplay among hypergeometric functions, complete elliptic integrals, and Fourier-Legendre expansions
- A family of shifted harmonic sums
- Series containing squared central binomial coefficients and alternating harmonic numbers
- Euler Sums and Contour Integral Representations
- Remarks on Some Integrals and Series Involving the Stirling Numbers and ζ(n)
- Euler-like sums via powers of log, arctan and arctanh functions
- A natural companion to Catalan's constant
- Parameterized families of polylog integrals
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