In this paper, we provide an asymptotic formula for the higher derivatives of the Hurwitz zeta function with respect to its first argument that does not need recurrences. As a by-product, we correct some formulas that have appeared in the literature.

In this paper, we provide an asymptotic formula for the higher derivatives of the Hurwitz zeta function with respect to its first argument that does not need recurrences. As a by-product, we correct some formulas that have appeared in the literature. (C) 2014 Elsevier Inc. All rights reserved.

A non-recursive formula for the higher derivatives of the Hurwitz zeta function

SERI, RAFFAELLO
2015-01-01

Abstract

In this paper, we provide an asymptotic formula for the higher derivatives of the Hurwitz zeta function with respect to its first argument that does not need recurrences. As a by-product, we correct some formulas that have appeared in the literature. (C) 2014 Elsevier Inc. All rights reserved.
2015
http://dx.doi.org/10.1016/j.jmaa.2014.08.012
Hurwitz zeta function; Asymptotic formula; Stieltjes coefficients
Seri, Raffaello
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11383/2018435
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