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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=-3/4, b>=a > For fixed z and a=-3/4, b=17/4





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









  


  








Input Form





Hypergeometric2F1[-(3/4), 17/4, 2, -z] == (8 Sqrt[2] ((45 + 1571 z + 3616 z^2 + 2048 z^3) (1 + Sqrt[1 + z]) EllipticE[(-1 + Sqrt[1 + z])/(1 + Sqrt[1 + z])] - (2048 z^3 + 45 (1 + Sqrt[1 + z]) + 32 z^2 (113 + 16 Sqrt[1 + z]) + z (1571 + 536 Sqrt[1 + z])) EllipticK[(-1 + Sqrt[1 + z])/ (1 + Sqrt[1 + z])]))/(4095 Pi z (1 + z)^(3/2) 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