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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=-15/4





http://functions.wolfram.com/07.23.03.aa8b.01









  


  








Input Form





Hypergeometric2F1[-(17/4), -(15/4), 2, z] == (1/(14549535 Pi z)) (8 Sqrt[1 + Sqrt[z]] ((36465 + 6665519 z + 39238362 z^2 + 44228590 z^3 + 10252965 z^4 + 241395 z^5) EllipticE[(2 Sqrt[z])/(1 + Sqrt[z])] + (-36465 + 36465 Sqrt[z] - 3055484 z + 3055484 z^(3/2) - 12321510 z^2 + 12321510 z^(5/2) - 8774140 z^3 + 8774140 z^(7/2) - 978225 z^4 + 978225 z^(9/2)) 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