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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=15/4





http://functions.wolfram.com/07.23.03.ag6n.01









  


  










Input Form





Hypergeometric2F1[-(5/4), 15/4, 1, z] == -((1/(1155 Pi (-1 + z)^2)) (2 (2 (-2041 + 10201 z - 14304 z^2 + 6144 z^3) EllipticE[(1/2) (1 - Sqrt[1 - z])] + (2041 + 886 Sqrt[1 - z] - (10201 + 2472 Sqrt[1 - z]) z + 96 (149 + 16 Sqrt[1 - z]) z^2 - 6144 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