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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=5/4, b>=a > For fixed z and a=5/4, b=23/4





http://functions.wolfram.com/07.23.03.ak5e.01









  


  










Input Form





Hypergeometric2F1[5/4, 23/4, 1, -z] == -((1/(21945 Pi (1 + z)^(23/4))) (2 (8 (-9252 + 1749 z + 1116 z^2 + 425 z^3 + 70 z^4) EllipticE[1/2 - 1/(2 Sqrt[1 + z])] + (37008 + 15063 Sqrt[1 + z] + 280 z^4 (-1 + 2 Sqrt[1 + z]) + 20 z^3 (-85 + 149 Sqrt[1 + z]) + z^2 (-4464 + 6735 Sqrt[1 + z]) + z (-6996 + 9138 Sqrt[1 + z])) 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