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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=23/4





http://functions.wolfram.com/07.23.03.alh1.01









  


  










Input Form





Hypergeometric2F1[9/4, 23/4, 1, z] == (2 ((-(41397 + 152061 z + 3915 z^2 - 865 z^3 + 100 z^4)) EllipticE[(2 Sqrt[z])/(1 + Sqrt[z])] + 4 (-1 + Sqrt[z]) (-4863 - 8745 z + 1665 z^2 - 395 z^3 + 50 z^4) EllipticK[(2 Sqrt[z])/(1 + Sqrt[z])]))/(21945 Pi (-1 + Sqrt[z])^7 (1 + Sqrt[z])^(13/2))










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