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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=9/4





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









  


  








Input Form





Hypergeometric2F1[-(11/4), 9/4, 3, -z] == (1/(109725 Pi z^2 Sqrt[1 + Sqrt[1 + z]])) (64 Sqrt[2] (Sqrt[1 + z] (-308 + 539 z + 4435 z^2 + 5536 z^3 + 2048 z^4) EllipticE[(-1 + Sqrt[1 + z])/(1 + Sqrt[1 + z])] + (-308 + 231 z + 4974 z^2 + 9971 z^3 + 7584 z^4 + 2048 z^5) EllipticE[(-1 + Sqrt[1 + z])/(1 + Sqrt[1 + z])] - 4 (-77 + 77 z + 358 z^2 + 382 z^3 + 128 z^4) EllipticK[(-1 + Sqrt[1 + z])/(1 + Sqrt[1 + z])] - Sqrt[1 + z] (-308 + 539 z + 4435 z^2 + 5536 z^3 + 2048 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