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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=9/4





http://functions.wolfram.com/07.23.03.ag1w.01









  


  








Input Form





Hypergeometric2F1[-(5/4), 9/4, 3, z] == (1/(585 Pi Sqrt[1 + Sqrt[z]] z^2)) (64 (-4 (1 + Sqrt[z] + z + z^(3/2) - 9 z^2 - 9 z^(5/2) + 6 z^3 + 6 z^(7/2)) EllipticE[(2 Sqrt[z])/(1 + Sqrt[z])] + (4 + 3 z - 19 z^2 + 12 z^3) EllipticK[(2 Sqrt[z])/(1 + Sqrt[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