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DLMF:25.11.E3

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Formula:8370
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MaRDI QIDQ8370

  • Label: DLMF:25.11.E3


Digital Library of Mathematical Functions ID 25.11.E3

ฮถ โก ( s , a ) = ฮถ โก ( s , a + 1 ) + a - s , Hurwitz-zeta ๐‘  ๐‘Ž Hurwitz-zeta ๐‘  ๐‘Ž 1 superscript ๐‘Ž ๐‘  {\displaystyle{\displaystyle\zeta\left(s,a\right)=\zeta\left(s,a+1\right)+a^{-% s},}}


Constraint(s)

Symbols List

  • ฮถ โก ( s , a ) Hurwitz-zeta ๐‘  ๐‘Ž {\displaystyle{\displaystyle\zeta\left(\NVar{s},\NVar{a}\right)}} : Hurwitz zeta function
  • n ๐‘› {\displaystyle{\displaystyle n}} : nonnegative integer
  • a ๐‘Ž {\displaystyle{\displaystyle a}} : real or complex parameter
  • s ๐‘  {\displaystyle{\displaystyle s}} : complex variable
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