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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=3/4, b>=a > For fixed z and a=3/4, b=17/4





http://functions.wolfram.com/07.23.03.aj5a.01









  


  










Input Form





Hypergeometric2F1[3/4, 17/4, 2, z] == -((8 ((-45 + 293 z - 336 z^2 + 120 z^3) EllipticE[ (2 Sqrt[z])/(1 + Sqrt[z])] + (45 - 45 Sqrt[z] - 113 z + 113 z^(3/2) + 60 z^2 - 60 z^(5/2)) EllipticK[(2 Sqrt[z])/(1 + Sqrt[z])]))/ (585 Pi (-1 + Sqrt[z])^3 (1 + Sqrt[z])^(5/2) z))










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