Some applications of the Stieltjes constants

Abstract

In this paper we present some applications of the Stieltjes constants including, for example, new derivations of Binet's formulae for the log gamma function and the evaluation of some integrals related to the Barnes multiple gamma functions.

References in corpus (1)

• Some series and integrals involving the Riemann zeta function, binomial coefficients and the harmonic numbers. Volume I

Cited by in corpus (2)

• The difference between two Stieltjes constants
• A recurrence relation for the Li/Keiper constants in terms of the Stieltjes constants