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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=19/4





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









  


  








Input Form





Hypergeometric2F1[-(17/4), 19/4, 2, -z] == (1/(2297295 Pi z Sqrt[1 + Sqrt[1 + z]])) (8 Sqrt[2] ((7293 + 1050915 z + 8390784 z^2 + 21825536 z^3 + 22872064 z^4 + 8388608 z^5) EllipticE[(-1 + Sqrt[1 + z])/(1 + Sqrt[1 + z])] + Sqrt[1 + z] (7293 + 1050915 z + 8390784 z^2 + 21825536 z^3 + 22872064 z^4 + 8388608 z^5) EllipticE[(-1 + Sqrt[1 + z])/ (1 + Sqrt[1 + z])] - Sqrt[1 + z] (7293 + 474768 z + 2583552 z^2 + 4210688 z^3 + 2097152 z^4) EllipticK[(-1 + Sqrt[1 + z])/ (1 + Sqrt[1 + z])] - (7293 + 1050915 z + 8390784 z^2 + 21825536 z^3 + 22872064 z^4 + 8388608 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