Some integrals involving the Stieltjes constants:Part II

2011/04/11 by Donal F. Connon, Connon, Donal F.
Mathematics · #11M06 #Advanced Mathematical Identities #Analytic Number Theory Research #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Mathematics and Applications

paper · pdf · doi:10.48550/arxiv.1104.1911

openalex publication_date 2011/04/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Some new integrals involving the Stieltjes constants are developed in this paper.

Citations

• New proofs of the duplication and multiplication formulae for the gamma and the Barnes double gamma functions
• A recurrence relation for the Li/Keiper constants in terms of the Stieltjes constants
• The difference between two Stieltjes constants

Related

• Some integrals involving the Stieltjes constants
• Some integrals and series involving the Stieltjes constants
• Some applications of the Stieltjes constants
• A New Effective Asymptotic Formula for the Stieltjes Constants
• New Inequalities of Gruss Type for the Stieltjes Integral and Applications