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variants of this functions
Hypergeometric2F1






Mathematica Notation

Traditional Notation









Hypergeometric Functions > Hypergeometric2F1[a,b,c,z] > Specific values > For rational parameters with denominators 4 and fixed z > For fixed z and a=-3/2, b>=a > For fixed z and a=-3/2, b=-5/4





http://functions.wolfram.com/07.23.03.afj2.01









  


  










Input Form





Hypergeometric2F1[-(3/2), -(5/4), 1, z] == (1/(15 Sqrt[2] Pi Sqrt[1 + Sqrt[1 - z]])) (14 (1 + Sqrt[1 - z]) (16 + 17 z) EllipticE[1/2 - (1 - z)^(1/4)/(1 + Sqrt[1 - z])] - (4 (28 + 28 (1 - z)^(1/4) + 28 Sqrt[1 - z] + 13 (1 - z)^(3/4)) + (119 + 119 (1 - z)^(1/4) + 119 Sqrt[1 - z] + 25 (1 - z)^(3/4)) z) EllipticK[1/2 - (1 - z)^(1/4)/(1 + Sqrt[1 - z])])










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)





2007-05-02