Some trigonometric integrals involving the log gamma and the digamma function

2010/05/19 by Donal F. Connon, Connon, Donal F. · 1 citation
Mathematics · #11MO6 #Advanced Mathematical Identities #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Mathematical Inequalities and Applications #Mathematical functions and polynomials

paper · pdf · doi:10.48550/arxiv.1005.3469

openalex publication_date 2010/05/19 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

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.

Citations

• New proofs of the duplication and multiplication formulae for the gamma and the Barnes double gamma functions

Cited by

• Some applications of the sine and cosine integrals

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