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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=17/4





http://functions.wolfram.com/07.23.03.alb3.01









  


  










Input Form





Hypergeometric2F1[9/4, 17/4, 4, z] == -((1/(2925 Pi (-1 + z)^3 z^3)) (256 (2 Sqrt[1 - z] (-32 + 63 z - 15 z^2 + 20 z^3) EllipticE[(1/2) (1 - Sqrt[1 - z])] + (32 (1 + Sqrt[1 - z]) - 3 (29 + 21 Sqrt[1 - z]) z + 15 (4 + Sqrt[1 - z]) z^2 - 5 (1 + 4 Sqrt[1 - z]) 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