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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=1/4





http://functions.wolfram.com/07.23.03.abb4.01









  


  








Input Form





Hypergeometric2F1[-(15/4), 1/4, 1, -z] == (1/(1155 Pi Sqrt[1 + Sqrt[1 + z]])) (2 Sqrt[2] (4 Sqrt[1 + z] (183 + 213 z + 132 z^2 + 32 z^3) EllipticE[(-1 + Sqrt[1 + z])/(1 + Sqrt[1 + z])] + 4 (183 + 396 z + 345 z^2 + 164 z^3 + 32 z^4) EllipticE[(-1 + Sqrt[1 + z])/(1 + Sqrt[1 + z])] - 4 Sqrt[1 + z] (183 + 213 z + 132 z^2 + 32 z^3) EllipticK[(-1 + Sqrt[1 + z])/(1 + Sqrt[1 + z])] - (-423 + 246 z + 141 z^2 + 32 z^3) 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