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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=19/4, b>=a > For fixed z and a=19/4, b=21/4





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









  


  








Input Form





Hypergeometric2F1[19/4, 21/4, 4, z] == (256 ((32 - 249 z + 1095 z^2 + 6621 z^3 + 693 z^4) EllipticE[(2 Sqrt[z])/(1 + Sqrt[z])] + (-1 + Sqrt[z]) (32 - 225 z + 930 z^2 + 1311 z^3) EllipticK[(2 Sqrt[z])/(1 + Sqrt[z])]))/ (765765 Pi (-1 + Sqrt[z])^6 (1 + Sqrt[z])^(11/2) z^3)








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