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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=21/4, b>=a > For fixed z and a=21/4, b=23/4





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









  


  








Input Form





Hypergeometric2F1[21/4, 23/4, 1, z] == (2 (4 (7759469 + 112631884 z + 262344846 z^2 + 133981260 z^3 + 11764845 z^4) EllipticE[(2 Sqrt[z])/(1 + Sqrt[z])] + (-1 + Sqrt[z]) (16488341 + 168265708 z + 263959230 z^2 + 77571180 z^3 + 2197845 z^4) EllipticK[(2 Sqrt[z])/(1 + Sqrt[z])]))/(14549535 Pi (-1 + Sqrt[z])^10 (1 + Sqrt[z])^(19/2))








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