Some BBP-type series for polylog integrals

  • Anthony Sofo Victoria University
Keywords: definite integral, BBP-type relations, Euler sums, Dirichlet beta functions

Abstract

An investigation into a family of definite integrals containing log-polylog functions will be undertaken in this paper. It will be shown that Euler sums play an important part in the solution of these integrals and may be represented as a BBP-type formula. In a special case we prove that the corresponding log integral can be represented as a linear combination of the product of zeta functions and the Dirichlet beta function.

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Author Biography

Anthony Sofo, Victoria University

College of Engineering and Science

Published
2021-11-17
Section
Articles