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Formula:2868

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Digital Library of Mathematical Functions ID 5.15.E1

ψ ′ ⁡ ( z ) = ∑ k = 0 ∞ 1 ( k + z ) 2 , diffop digamma 1 𝑧 superscript subscript 𝑘 0 1 superscript 𝑘 𝑧 2 {\displaystyle{\displaystyle\psi'\left(z\right)=\sum_{k=0}^{\infty}\frac{1}{(k% +z)^{2}},}}


Constraint(s)

z ≠ 0 , - 1 , - 2 , … 𝑧 0 1 2 … {\displaystyle{\displaystyle z\neq 0,-1,-2,\dots}}

Symbols List

  • ψ ⁡ ( z ) digamma 𝑧 {\displaystyle{\displaystyle\psi\left(\NVar{z}\right)}} : psi (or digamma) function
  • k 𝑘 {\displaystyle{\displaystyle k}} : nonnegative integer
  • z 𝑧 {\displaystyle{\displaystyle z}} : complex variable
  •  Edit this on Wikidata

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This page was last edited on 28 January 2024, at 10:30.
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