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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=-11/4, b>=a > For fixed z and a=-11/4, b=13/4





http://functions.wolfram.com/07.23.03.adh3.01









  


  








Input Form





Hypergeometric2F1[-(11/4), 13/4, 3, -z] == (1/(987525 Pi z^2 Sqrt[1 + Sqrt[1 + z]])) (64 Sqrt[2] (2 Sqrt[1 + z] (-154 + 1001 z + 22614 z^2 + 41984 z^3 + 20480 z^4) EllipticE[(-1 + Sqrt[1 + z])/(1 + Sqrt[1 + z])] + 2 (-154 + 847 z + 23615 z^2 + 64598 z^3 + 62464 z^4 + 20480 z^5) EllipticE[(-1 + Sqrt[1 + z])/(1 + Sqrt[1 + z])] - (-308 + 1771 z + 15891 z^2 + 23872 z^3 + 10240 z^4) EllipticK[(-1 + Sqrt[1 + z])/(1 + Sqrt[1 + z])] - 2 Sqrt[1 + z] (-154 + 1001 z + 22614 z^2 + 41984 z^3 + 20480 z^4) EllipticK[(-1 + Sqrt[1 + z])/(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