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/"))

Fungrim entry: 04217b

Topics using this entry