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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=19/4, b>=a > For fixed z and a=19/4, b=19/4





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









  


  










Input Form





Hypergeometric2F1[19/4, 19/4, 5, z] == (1/(1334025 Pi (-1 + z)^5 z^4)) (4096 (8 (-1 + z) (-32 + 132 z - 213 z^2 + 183 z^3) EllipticE[(1/2) (1 - Sqrt[1 - z])] - 4 (-1 + z) (-32 + 132 z - 213 z^2 + 183 z^3) EllipticK[(1/2) (1 - Sqrt[1 - z])] - Sqrt[1 - z] (128 - 624 z + 1239 z^2 - 1338 z^3 + 1155 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