A special constant and series with zeta values and harmonic numbers

Abstract

In this paper we demonstrate the importance of a mathematical constant which is the value of several interesting numerical series involving harmonic numbers, zeta values, and logarithms. We also evaluate in closed form a number of numerical and power series.

arXiv comment19 pages

References in corpus (2)

• On an integral involving the digamma function
• Series Transformation Formulas of Euler Type, Hadamard Product of Functions, and Harmonic Number Identities

Cited by in corpus (2)

• New series identities with Cauchy, Stirling, and harmonic numbers, and Laguerre polynomials
• Generalizations of the Euler-Mascheroni constant associated with the hyperharmonic numbers