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Expansion of generalized Stieltjes constants in terms of derivatives of Hurwitz zeta-functions (2305.15806v1)
Published 25 May 2023 in math.NA and cs.NA
Abstract: Generalized Stieltjes constants $\gamma$ n (a) are the coecients in the Laurent series for the Hurwitz-zeta function $\zeta$(s, a) at the pole s = 1. Many authors proved formulas for these constants. In this paper, using a recurrence between ($\zeta$(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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