Some applications of the Stieltjes constants

2009/01/14 by Donal F. Connon, Connon, Donal F.
Mathematics · #11M35 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #math.CA #msc:11M35

paper · pdf · doi:10.48550/arxiv.0901.2083

arxiv created 2009/01/14 · arxiv updated 2009/12/01

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.

Related

• Some integrals involving the Stieltjes constants
• Some integrals involving the Stieltjes constants:Part II
• Some integrals and series involving the Stieltjes constants
• On some new formulae involving the Stieltjes constants
• A New Effective Asymptotic Formula for the Stieltjes Constants