Some trigonometric integrals involving the log gamma and the digamma function

Abstract

This paper considers various integrals where the integrand includes the log gamma function (or its derivative, the digamma function) multiplied by a trigonometric or hyperbolic function. Some apparently new integrals and series are evaluated.

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Cited by in corpus (3)

• On an integral involving the digamma function
• Some applications of the Dirichlet integrals to the summation of series and the evaluation of integrals involving the Riemann zeta function
• Some applications of the sine and cosine integrals