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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 8 and fixed z and a<0 > For fixed z and a=-9/8, b>=a > For fixed z and a=-9/8, b=21/8





http://functions.wolfram.com/07.23.03.bsk1.01









  


  








Input Form





Hypergeometric2F1[-(9/8), 21/8, 1, z] == (1/(585 Pi)) (2^(3/4) (1 + Sqrt[1 - z])^(1/4) (-112 (-29 + 66 z) EllipticE[1/2 - 1/(Sqrt[2] Sqrt[1 + Sqrt[1 - z]])] + 56 (-29 + 66 z) EllipticK[1/2 - 1/(Sqrt[2] Sqrt[1 + Sqrt[1 - z]])] + (5 Sqrt[2] Sqrt[1 + Sqrt[1 - z]] (-117 + 308 z) EllipticK[1/2 - 1/(Sqrt[2] Sqrt[1 + Sqrt[1 - z]])])/z + (3 Sqrt[2] Sqrt[1 + Sqrt[1 - z]] (195 - 784 z + 616 z^2) EllipticK[1/2 - 1/(Sqrt[2] Sqrt[1 + Sqrt[1 - z]])])/(Sqrt[1 - z] 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