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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.an9n.01









  


  








Input Form





Hypergeometric2F1[17/4, 23/4, 6, z] == (16384 ((-(2048 - 7520 z + 9843 z^2 - 4950 z^3 + 195 z^4)) EllipticE[(2 Sqrt[z])/(1 + Sqrt[z])] + (-1 + Sqrt[z]) (-2048 + 5984 z - 5595 z^2 + 1365 z^3 + 390 z^4) EllipticK[(2 Sqrt[z])/(1 + Sqrt[z])]))/(2567565 Pi (-1 + Sqrt[z])^4 (1 + Sqrt[z])^(7/2) z^5)








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