Expansion of generalized Stieltjes constants in terms of derivatives of Hurwitz zeta-functions

2023/05/25 by Prévost, M
#FOS: Mathematics #Numerical Analysis (math.NA)

paper · doi:10.48550/arxiv.2305.15806

Abstract

Generalized Stieltjes constants γ n (a) are the coecients in the Laurent series for the Hurwitz-zeta function ζ(s, a) at the pole s = 1. Many authors proved formulas for these constants. In this paper, using a recurrence between (ζ(s + j, a)) j and proved by the author, we prove a general result which contains some of these formulas as particular cases.

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