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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=-1/4, b>=a > For fixed z and a=-1/4, b=3/4





http://functions.wolfram.com/07.23.03.ahg1.01









  


  








Input Form





Hypergeometric2F1[-(1/4), 3/4, 6, z] == (1/(46154745 Pi z^5)) (16384 ((4096 - 22592 z + 51270 z^2 - 61318 z^3 + 42074 z^4 + 6630 z^5) EllipticE[(1/2) (1 - Sqrt[1 - z])] - (2048 (1 + Sqrt[1 - z]) - 32 (353 + 337 Sqrt[1 - z]) z + (25635 + 23179 Sqrt[1 - z]) z^2 - 31 (989 + 838 Sqrt[1 - z]) z^3 + (21037 + 16575 Sqrt[1 - z]) z^4 + 3315 z^5) 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