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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=5/4





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









  


  








Input Form





Hypergeometric2F1[3/4, 5/4, 6, z] == -((1/(765765 Pi z^5)) (16384 Sqrt[1 + Sqrt[z]] ((2048 - 7776 z + 10835 z^2 - 6390 z^3 + 1155 z^4) EllipticE[(2 Sqrt[z])/(1 + Sqrt[z])] + (-2048 + 2048 Sqrt[z] + 6240 z - 6240 z^(3/2) - 6395 z^2 + 6395 z^(5/2) + 2235 z^3 - 2235 z^(7/2)) EllipticK[(2 Sqrt[z])/(1 + Sqrt[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