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

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:424

Article

关键词: Hurwitz zeta function;    Asymptotic formula;    Stieltjes coefficients;   

DOI  :  10.1016/j.jmaa.2014.08.012

来源: Elsevier

【 摘 要 】

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.

【 授权许可】

Free