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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=13/4, b>=a > For fixed z and a=13/4, b=13/4





http://functions.wolfram.com/07.23.03.am8e.01









  


  








Input Form





Hypergeometric2F1[13/4, 13/4, 5, -z] == -((4096 Sqrt[2] (2 (64 + 104 z + 37 z^2) (1 + Sqrt[1 + z]) EllipticE[(-1 + Sqrt[1 + z])/(1 + Sqrt[1 + z])] - (128 (1 + Sqrt[1 + z]) + 16 z (13 + 11 Sqrt[1 + z]) + z^2 (74 + 45 Sqrt[1 + z])) EllipticK[(-1 + Sqrt[1 + z])/ (1 + Sqrt[1 + z])]))/(2025 Pi z^4 (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