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DLMF:5.5.E8

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Formula:2613
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MaRDI QIDQ2613

  • Label: DLMF:5.5.E8


Digital Library of Mathematical Functions ID 5.5.E8

ψ ⁡ ( 2 ⁢ z ) = 1 2 ⁢ ( ψ ⁡ ( z ) + ψ ⁡ ( z + 1 2 ) ) + ln ⁡ 2 , digamma 2 𝑧 1 2 digamma 𝑧 digamma 𝑧 1 2 2 {\displaystyle{\displaystyle\psi\left(2z\right)=\tfrac{1}{2}\left(\psi\left(z% \right)+\psi\left(z+\tfrac{1}{2}\right)\right)+\ln 2,}}


Constraint(s)

Symbols List

  • ψ ⁡ ( z ) digamma 𝑧 {\displaystyle{\displaystyle\psi\left(\NVar{z}\right)}} : psi (or digamma) function
  • ln ⁡ z 𝑧 {\displaystyle{\displaystyle\ln\NVar{z}}} : principal branch of logarithm function
  • 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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