Closed-form evaluation of some families of cotangent and cosecant integrals

DOI10.1080/10652460701688125zbMath1138.33002OpenAlexW2157871007MaRDI QIDQ5458016

Djurdje Cvijović

Publication date: 10 April 2008

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652460701688125

zbMATH Keywords

Hurwitz zeta functionRiemann zeta functionClausen functionDefinite integralsCosecant integralCotangent integral

Mathematics Subject Classification ID

Other functions defined by series and integrals (33E20) Hurwitz and Lerch zeta functions (11M35) Exponential and trigonometric functions (33B10)

Related Items (4)

The superconvergence of composite Newton-Cotes rules for Hadamard finite-part integral on a circle ⋮ An efficient calculation of the Clausen functions \(\text{Cl}_{n }(\theta )(n\geq 2)\) ⋮ Series representations for the Apéry constant \(\zeta (3)\) involving the values \(\zeta (2n)\) ⋮ Numerical solution of a certain hypersingular integral equation of the first kind

Cites Work

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• Integral representations of the Riemann zeta function for odd-integer arguments
• Closed-form evaluations of definite integrals and associated infinite series involving the Riemann zeta function
• Values of the Legendre chi and Hurwitz zeta functions at rational arguments
• Some formulas for the Bernoulli and Euler polynomials at rational arguments
• New Formulae for the Bernoulli and Euler Polynomials at Rational Arguments
• Closed-form evaluation of some families of definite tangent and secant integrals

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