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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=3/4, b>=a > For fixed z and a=3/4, b=21/4





http://functions.wolfram.com/07.23.03.aj92.01









  


  










Input Form





Hypergeometric2F1[3/4, 21/4, 3, z] == (64 ((-(-36 - 45 z + 653 z^2 - 876 z^3 + 336 z^4)) EllipticE[(2 Sqrt[z])/(1 + Sqrt[z])] + 4 (-1 + Sqrt[z]) (9 + 18 z - 71 z^2 + 42 z^3) EllipticK[(2 Sqrt[z])/(1 + Sqrt[z])]))/ (9945 Pi (-1 + Sqrt[z])^3 (1 + Sqrt[z])^(5/2) z^2)










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