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DLMF:5.5.E5

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Formula:2607
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MaRDI QIDQ2607

  • Label: DLMF:5.5.E5


Digital Library of Mathematical Functions ID 5.5.E5

Γ ⁡ ( 2 ⁢ z ) = π - 1 / 2 ⁢ 2 2 ⁢ z - 1 ⁢ Γ ⁡ ( z ) ⁢ Γ ⁡ ( z + 1 2 ) . Euler-Gamma 2 𝑧 superscript 𝜋 1 2 superscript 2 2 𝑧 1 Euler-Gamma 𝑧 Euler-Gamma 𝑧 1 2 {\displaystyle{\displaystyle\Gamma\left(2z\right)=\pi^{-1/2}2^{2z-1}\Gamma% \left(z\right)\Gamma\left(z+\tfrac{1}{2}\right).}}


Constraint(s)

Symbols List

  • Γ ⁡ ( z ) Euler-Gamma 𝑧 {\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}} : gamma function
  • π {\displaystyle{\displaystyle\pi}} : the ratio of the circumference of a circle to its diameter
  • z 𝑧 {\displaystyle{\displaystyle z}} : complex variable
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This page was last edited on 28 January 2024, at 10:30.
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