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Formula:8304

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Digital Library of Mathematical Functions ID 25.4.E4

ξ ⁡ ( s ) = 1 2 ⁢ s ⁢ ( s - 1 ) ⁢ Γ ⁡ ( 1 2 ⁢ s ) ⁢ π - s / 2 ⁢ ζ ⁡ ( s ) . Riemann-xi 𝑠 1 2 𝑠 𝑠 1 Euler-Gamma 1 2 𝑠 superscript 𝜋 𝑠 2 Riemann-zeta 𝑠 {\displaystyle{\displaystyle\xi\left(s\right)=\tfrac{1}{2}s(s-1)\Gamma\left(% \tfrac{1}{2}s\right)\pi^{-s/2}\zeta\left(s\right).}}


Constraint(s)

Symbols List

  • Γ ⁡ ( z ) Euler-Gamma 𝑧 {\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}} : gamma function
  • ζ ⁡ ( s ) Riemann-zeta 𝑠 {\displaystyle{\displaystyle\zeta\left(\NVar{s}\right)}} : Riemann zeta function
  • π {\displaystyle{\displaystyle\pi}} : the ratio of the circumference of a circle to its diameter
  • s 𝑠 {\displaystyle{\displaystyle s}} : complex variable
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This page was last edited on 28 January 2024, at 10:02.
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