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.
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