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Formula:3508

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Digital Library of Mathematical Functions ID 9.7.E3

χ ⁢ ( x ) ≡ π 1 / 2 ⁢ Γ ⁡ ( 1 2 ⁢ x + 1 ) / Γ ⁡ ( 1 2 ⁢ x + 1 2 ) . equal-by definition 𝜒 𝑥 1 2 Euler-Gamma 1 2 𝑥 1 Euler-Gamma 1 2 𝑥 1 2 {\displaystyle{\displaystyle\chi(x)\equiv{\pi^{\ifrac{1}{2}}}\Gamma\left(% \tfrac{1}{2}x+1\right)/\Gamma\left(\tfrac{1}{2}x+\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
  • ≡ equal-by definition {\displaystyle{\displaystyle\equiv}} :
  •  Edit this on Wikidata

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This page was last edited on 3 March 2024, at 01:56.
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