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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=17/4





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









  


  








Input Form





Hypergeometric2F1[-(17/4), 17/4, 3, -z] == (1/(1044225 Pi z^2)) (64 (1 + z)^(1/4) (2 (-68 + 969 z + 80085 z^2 + 407960 z^3 + 757680 z^4 + 606144 z^5 + 177408 z^6) EllipticE[1/2 - 1/(2 Sqrt[1 + z])] - 4 Sqrt[1 + z] (-17 + 255 z + 11670 z^2 + 44660 z^3 + 55440 z^4 + 22176 z^5) EllipticK[1/2 - 1/(2 Sqrt[1 + z])] - (-68 + 969 z + 80085 z^2 + 407960 z^3 + 757680 z^4 + 606144 z^5 + 177408 z^6) EllipticK[1/2 - 1/(2 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