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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=-15/4, b>=a > For fixed z and a=-15/4, b=-15/4





http://functions.wolfram.com/07.23.03.ab0r.01









  


  








Input Form





Hypergeometric2F1[-(15/4), -(15/4), 1, z] == (1/(385 Pi)) (2 (16 Sqrt[1 - z] (61 + 459 z + 459 z^2 + 61 z^3) EllipticE[(1/2) (1 - Sqrt[1 - z])] - 8 Sqrt[1 - z] (61 + 459 z + 459 z^2 + 61 z^3) EllipticK[(1/2) (1 - Sqrt[1 - z])] + (-103 + 2084 z + 9006 z^2 + 5268 z^3 + 385 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