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Fungrim entry: 04217b

Symbol: HurwitzZeta ζ ⁣(s,a)\zeta\!\left(s, a\right) Hurwitz zeta function
HurwitzZeta(s, a) ζ ⁣(s,a)\zeta\!\left(s, a\right) represents the Hurwitz zeta function of argument ss and parameter aa.
HurwitzZeta(s, a, 1) ζ ⁣(s,a)\zeta'\!\left(s, a\right) represents the Hurwitz zeta function of argument ss and parameter aa, differentiated once with respect to ss.
HurwitzZeta(s, a, r) ζ(r) ⁣(s,a)\zeta^{(r)}\!\left(s, a\right) represents the Hurwitz zeta function of argument ss and parameter aa, differentiated to order rr with respect to ss.
References:
  • https://dlmf.nist.gov/25.11
  • http://functions.wolfram.com/ZetaFunctionsandPolylogarithms/Zeta2/
Definitions:
Fungrim symbol Notation Short description
HurwitzZetaζ ⁣(s,a)\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/"))

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

2020-01-31 18:09:28.494564 UTC