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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=17/4, b>=a > For fixed z and a=17/4, b=23/4





http://functions.wolfram.com/07.23.03.an96.01









  


  








Input Form





Hypergeometric2F1[17/4, 23/4, 3, z] == (64 ((-(-308 + 4697 z + 112557 z^2 + 79467 z^3 + 195 z^4)) EllipticE[(2 Sqrt[z])/(1 + Sqrt[z])] + 2 (-1 + Sqrt[z]) (154 - 2233 z - 17817 z^2 - 4875 z^3 + 195 z^4) EllipticK[(2 Sqrt[z])/(1 + Sqrt[z])]))/(2567565 Pi (-1 + Sqrt[z])^7 (1 + Sqrt[z])^(13/2) 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