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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=-3/4, b>=a > For fixed z and a=-3/4, b=17/4





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









  


  








Input Form





Hypergeometric2F1[-(3/4), 17/4, 5, z] == (1/(4279275 Pi z^4)) (4096 (2 Sqrt[1 - z] (-384 - 368 z - 429 z^2 - 672 z^3 + 2048 z^4) EllipticE[(1/2) (1 - Sqrt[1 - z])] - 2 (-192 - 40 z - 63 z^2 - 156 z^3 + 256 z^4) EllipticK[(1/2) (1 - Sqrt[1 - z])] - Sqrt[1 - z] (-384 - 368 z - 429 z^2 - 672 z^3 + 2048 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