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variants of this functions
Hypergeometric2F1






Mathematica Notation

Traditional Notation









Hypergeometric Functions > Hypergeometric2F1[a,b,c,z] > Representations through more general functions > Through Meijer G > Classical cases involving sgn





http://functions.wolfram.com/07.23.26.0224.01









  


  










Input Form





(((1 - z) Sign[1 - Abs[z]])^(2 a - 2 b) Hypergeometric2F1[a, b, 2 b, (4 z)/(1 + z)^2])/(1 + z)^(2 b) == ((Gamma[1/2 + a - b] Gamma[1/2 + b])/Gamma[-a + 2 b]) MeijerG[{{1 + a - 2 b}, {1/2 + a - b}}, {{0}, {1/2 - b}}, z, 1/2]










Standard Form





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MathML Form







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Rule Form





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Date Added to functions.wolfram.com (modification date)





2001-10-29





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