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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.am8d.01









  


  








Input Form





Hypergeometric2F1[13/4, 13/4, 5, z] == -((1/(2025 Pi (-1 + z)^2 z^4)) (4096 (4 Sqrt[1 - z] (64 - 104 z + 37 z^2) EllipticE[(1/2) (1 - Sqrt[1 - z])] + (-128 (1 + Sqrt[1 - z]) + 16 (19 + 13 Sqrt[1 - z]) z - (221 + 74 Sqrt[1 - z]) z^2 + 45 z^3) EllipticK[(1/2) (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