On the Clausen integral \(Cl_ 2(\theta)\) and a related integral

DOI10.1016/0377-0427(84)90007-4zbMath0553.33005OpenAlexW2097703790MaRDI QIDQ802061

P. J. de Doelder

Publication date: 1984

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(84)90007-4

zbMATH Keywords

Clausen integraldi-gamma function

Mathematics Subject Classification ID

Other special functions (33E99)

Related Items (12)

An efficient calculation of the Clausen functions \(\text{Cl}_{n }(\theta )(n\geq 2)\) ⋮ Chebyshev coefficients for the Clausen function \(Cl_ 2(x)\) ⋮ Series representations for the Apéry constant \(\zeta (3)\) involving the values \(\zeta (2n)\) ⋮ Alternative evaluation of a ln tan integral arising in quantum field theory ⋮ Quadrature processes for efficient calculation of the Clausen functions ⋮ Some special cases of the generalized hypergeometric function \(_{q+1}F_ q\) ⋮ On one-dimensional digamma and polygamma series related to the evaluation of Feynman diagrams ⋮ A dilogarithmic integral arising in quantum field theory ⋮ The polygamma function \(\psi^{(k)}(x)\) for \(x={1\over 4}\) and \(x={3\over 4}\) ⋮ On a three-dimensional symmetric Ising tetrahedron and contributions to the theory of the dilogarithm and Clausen functions ⋮ Evaluation of a ln tan integral arising in quantum field theory ⋮ Formulae concerning the computation of the Clausen integral \(Cl_ 2(\theta)\)

Cites Work

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