Vol. 26 (2015)
Articles

Some integrals related to the Basel problem

Khristo N. Boyadzhiev
Department of Mathematics and Statistics, Ohio Northern University, Ada, OH 45810, U.S.A

Published 2015-05-25

Keywords

  • Basel problem,
  • integrals,
  • dilogarithm,
  • trilogarithm,
  • Catalan constant

How to Cite

Some integrals related to the Basel problem. (2015). Scientia Series A: Mathematical Sciences, 26, 1-11. https://revistas.usm.cl/scientia/article/view/223

Abstract

We evaluate several arctangent and logarithmic integrals depending on a parameter. This provides a closed form summation of certain series and also integral and series representation of some classical constants.

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