The Ramanujan Journal

, Volume 6, Issue 2, pp 159–188

On Some Integrals Involving the Hurwitz Zeta Function: Part 1

  • Olivier Espinosa
  • Victor H. Moll
Article

DOI: 10.1023/A:1015706300169

Cite this article as:
Espinosa, O. & Moll, V.H. The Ramanujan Journal (2002) 6: 159. doi:10.1023/A:1015706300169

Abstract

We establish a series of integral formulae involving the Hurwitz zeta function. Applications are given to integrals of Bernoulli polynomials, ln Γ(q) and ln sin(q).

Hurwitz zeta functionpolylogarithmsloggammaintegrals

Copyright information

© Kluwer Academic Publishers 2002

Authors and Affiliations

  • Olivier Espinosa
    • 1
  • Victor H. Moll
    • 2
  1. 1.Departamento de FísicaUniversidad Técnica Federico Santa MaríaValparaísoChile
  2. 2.Department of MathematicsTulane UniversityNew Orleans