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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=1/4, b>=a > For fixed z and a=1/4, b=11/4





http://functions.wolfram.com/07.23.03.ai8s.01









  


  








Input Form





Hypergeometric2F1[1/4, 11/4, 6, -z] == (1/(1382535 Pi z^5)) (16384 (1 + z)^(1/4) (2 (-2048 - 5088 z - 3459 z^2 - 105 z^3 + 90 z^4) EllipticE[1/2 - 1/(2 Sqrt[1 + z])] - (-2048 - 5088 z - 3459 z^2 - 105 z^3 + 90 z^4) EllipticK[1/2 - 1/(2 Sqrt[1 + z])] + Sqrt[1 + z] (2048 + 3552 z + 1035 z^2 - 345 z^3 + 180 z^4) 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