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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.an9c.01









  


  










Input Form





Hypergeometric2F1[17/4, 23/4, 4, z] == (256 ((224 - 1687 z + 6993 z^2 + 35235 z^3 + 195 z^4) EllipticE[(2 Sqrt[z])/(1 + Sqrt[z])] - (-1 + Sqrt[z]) (-224 + 1519 z - 5880 z^2 - 6045 z^3 + 390 z^4) EllipticK[(2 Sqrt[z])/(1 + Sqrt[z])]))/(4279275 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