EXPANSION OF GENERALIZED STIELTJES CONSTANTS IN TERMS OF DERIVATIVES OF HURWITZ ZETA-FUNCTIONS - Université du Littoral Côte d'Opale Access content directly
Preprints, Working Papers, ... Year : 2023

EXPANSION OF GENERALIZED STIELTJES CONSTANTS IN TERMS OF DERIVATIVES OF HURWITZ ZETA-FUNCTIONS

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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hal-04105596 , version 1 (24-05-2023)

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Marc Prévost. EXPANSION OF GENERALIZED STIELTJES CONSTANTS IN TERMS OF DERIVATIVES OF HURWITZ ZETA-FUNCTIONS. 2023. ⟨hal-04105596⟩
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