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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=9/4, b>=a > For fixed z and a=9/4, b=21/4





http://functions.wolfram.com/07.23.03.alf8.01









  


  








Input Form





Hypergeometric2F1[9/4, 21/4, 4, z] == (1/(9945 Pi (-1 + z)^4 z^3)) (256 (-2 Sqrt[1 - z] (32 - 83 z + 30 z^2 - 83 z^3 + 32 z^4) EllipticE[(1/2) (1 - Sqrt[1 - z])] + (-1 + z) (-32 + 75 z - 15 z^2 + 8 z^3) EllipticK[(1/2) (1 - Sqrt[1 - z])] + Sqrt[1 - z] (32 - 83 z + 30 z^2 - 83 z^3 + 32 z^4) 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