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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=-17/4, b>=a > For fixed z and a=-17/4, b=-11/4





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









  


  








Input Form





Hypergeometric2F1[-(17/4), -(11/4), 2, -z] == (1/(2297295 Pi z)) (8 (1 + z)^(1/4) (-2 (7293 - 1014450 z + 4260054 z^2 - 2885744 z^3 + 226149 z^4 + 5082 z^5) EllipticE[1/2 - 1/(2 Sqrt[1 + z])] + Sqrt[1 + z] (7293 - 445596 z + 1203006 z^2 - 438716 z^3 + 2541 z^4) EllipticK[1/2 - 1/(2 Sqrt[1 + z])] + (7293 - 1014450 z + 4260054 z^2 - 2885744 z^3 + 226149 z^4 + 5082 z^5) EllipticK[1/2 - 1/(2 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