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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=11/4





http://functions.wolfram.com/07.23.03.ag3g.01









  


  










Input Form





Hypergeometric2F1[-(5/4), 11/4, 3, z] == -((1/(12285 Pi z^2)) (64 (4 (10 + 25 z - 248 z^2 + 192 z^3) EllipticE[(1/2) (1 - Sqrt[1 - z])] + (-20 (1 + Sqrt[1 - z]) - 5 (10 + 11 Sqrt[1 - z]) z + 16 (31 + 6 Sqrt[1 - z]) z^2 - 384 z^3) 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