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Proof of Gamma(1/2) - Brigham Young University–Hawaii

Proof of Gamma(1/2) - Brigham Young University–Hawaii

jekyll.math.byuh.edu

Proof of (1 =2) The gamma function is de ned as ( ) = Z 1 0 x 1e xdx: Making the substitution x= u2 gives the equivalent expression ( ) = 2 Z 1 0 u2 1e u2du A special value of the gamma function can be derived when 2 1 = 0 ( = 1 2

  Proof, Gamma, Proof of gamma

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