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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=-17/4, b>=a > For fixed z and a=-17/4, b=-5/4





http://functions.wolfram.com/07.23.03.aae5.01









  


  








Input Form





Hypergeometric2F1[-(17/4), -(5/4), 2, -z] == (1/(208845 Pi z Sqrt[1 + Sqrt[1 + z]])) (8 Sqrt[2] ((-1105 + 125212 z - 247462 z^2 + 12220 z^3 + 1775 z^4 + 160 z^5) EllipticE[(-1 + Sqrt[1 + z])/(1 + Sqrt[1 + z])] + Sqrt[1 + z] (-1105 + 125212 z - 247462 z^2 + 12220 z^3 + 1775 z^4 + 160 z^5) EllipticE[(-1 + Sqrt[1 + z])/(1 + Sqrt[1 + z])] - Sqrt[1 + z] (-1105 + 73277 z - 117435 z^2 + 415 z^3 + 40 z^4) EllipticK[(-1 + Sqrt[1 + z])/(1 + Sqrt[1 + z])] - (-1105 + 125212 z - 247462 z^2 + 12220 z^3 + 1775 z^4 + 160 z^5) 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