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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=13/4





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









  


  








Input Form





Hypergeometric2F1[-(17/4), 13/4, 1, z] == (1/(9945 Pi)) (2 Sqrt[1 + Sqrt[z]] (4 (6857 - 77266 z + 229292 z^2 - 255024 z^3 + 96096 z^4) EllipticE[(2 Sqrt[z])/(1 + Sqrt[z])] + (-17483 + 17483 Sqrt[z] + 159208 z - 159208 z^(3/2) - 333872 z^2 + 333872 z^(5/2) + 192192 z^3 - 192192 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