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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.bsk3.01









  


  








Input Form





Hypergeometric2F1[-(9/8), 21/8, 2, z] == -((1/(9945 Pi z)) (16 2^(1/4) (1 + Sqrt[1 - z])^(1/4) (2 Sqrt[2] (45 - 1568 z + 1848 z^2) EllipticE[ 1/2 - 1/(Sqrt[2] Sqrt[1 + Sqrt[1 - z]])] + (-45 (Sqrt[2] - 27 Sqrt[1 + Sqrt[1 - z]] + 28 Sqrt[1 + Sqrt[1 - z]] Sqrt[1 - z]) + 28 (56 Sqrt[2] - 55 Sqrt[1 + Sqrt[1 - z]] + 66 Sqrt[1 + Sqrt[1 - z]] Sqrt[1 - z]) z - 1848 Sqrt[2] z^2) EllipticK[1/2 - 1/(Sqrt[2] Sqrt[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