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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.am7x.01









  


  








Input Form





Hypergeometric2F1[13/4, 13/4, 1, z] == (1/(45 Pi (-1 + z)^6)) (2 (4 Sqrt[1 - z] (59 + 218 z + 59 z^2) EllipticE[(1/2) (1 - Sqrt[1 - z])] - (73 + 118 Sqrt[1 - z] + (145 + 436 Sqrt[1 - z]) z + (-173 + 118 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