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Formula:2875

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Digital Library of Mathematical Functions ID 5.15.E8

ψ ′ ⁡ ( z ) ∼ 1 z + 1 2 ⁢ z 2 + ∑ k = 1 ∞ B 2 ⁢ k z 2 ⁢ k + 1 . asymptotic-expansion diffop digamma 1 𝑧 1 𝑧 1 2 superscript 𝑧 2 superscript subscript 𝑘 1 Bernoulli-number-B 2 𝑘 superscript 𝑧 2 𝑘 1 {\displaystyle{\displaystyle\psi'\left(z\right)\sim\frac{1}{z}+\frac{1}{2z^{2}% }+\sum_{k=1}^{\infty}\frac{B_{2k}}{z^{2k+1}}.}}


Constraint(s)

Symbols List

  • B n Bernoulli-number-B 𝑛 {\displaystyle{\displaystyle B_{\NVar{n}}}} :
  • ∼ asymptotic-expansion {\displaystyle{\displaystyle\sim}} :
  • 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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