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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=-9/4, b>=a > For fixed z and a=-9/4, b=11/4





http://functions.wolfram.com/07.23.03.aef8.01









  


  








Input Form





Hypergeometric2F1[-(9/4), 11/4, 3, z] == (1/(69615 Pi z^2)) (64 (2 (-60 - 195 z + 3059 z^2 - 4768 z^3 + 2048 z^4) EllipticE[(1/2) (1 - Sqrt[1 - z])] + (60 (1 + Sqrt[1 - z]) + 15 (13 + 14 Sqrt[1 - z]) z - (3059 + 824 Sqrt[1 - z]) z^2 + 32 (149 + 16 Sqrt[1 - z]) z^3 - 2048 z^4) EllipticK[(1/2) (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