# Fungrim entry: 04217b

Symbol: HurwitzZeta $\zeta\!\left(s, a\right)$ Hurwitz zeta function
HurwitzZeta(s, a) $\zeta\!\left(s, a\right)$ represents the Hurwitz zeta function of argument $s$ and parameter $a$.
HurwitzZeta(s, a, 1) $\zeta'\!\left(s, a\right)$ represents the Hurwitz zeta function of argument $s$ and parameter $a$, differentiated once with respect to $s$.
HurwitzZeta(s, a, r) $\zeta^{(r)}\!\left(s, a\right)$ represents the Hurwitz zeta function of argument $s$ and parameter $a$, differentiated to order $r$ with respect to $s$.
References:
• https://dlmf.nist.gov/25.11
• http://functions.wolfram.com/ZetaFunctionsandPolylogarithms/Zeta2/
Definitions:
Fungrim symbol Notation Short description
HurwitzZeta$\zeta\!\left(s, a\right)$ Hurwitz zeta function
Source code for this entry:
Entry(ID("04217b"),
SymbolDefinition(HurwitzZeta, HurwitzZeta(s, a), "Hurwitz zeta function"),
CodeExample(HurwitzZeta(s, a), "represents the Hurwitz zeta function of argument", s, "and parameter", a, "."),
CodeExample(HurwitzZeta(s, a, 1), "represents the Hurwitz zeta function of argument", s, "and parameter", a, ", differentiated once with respect to", s, "."),
CodeExample(HurwitzZeta(s, a, r), "represents the Hurwitz zeta function of argument", s, "and parameter", a, ", differentiated to order", r, "with respect to", s, "."),
References("https://dlmf.nist.gov/25.11", "http://functions.wolfram.com/ZetaFunctionsandPolylogarithms/Zeta2/"))

## Topics using this entry

Copyright (C) Fredrik Johansson and contributors. Fungrim is provided under the MIT license. The source code is on GitHub.

2021-03-15 19:12:00.328586 UTC