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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.aa8c.01









  


  










Input Form





Hypergeometric2F1[-(17/4), -(15/4), 2, -z] == (1/(14549535 Pi z)) (8 (1 + z)^(1/4) (2 (-36465 + 6665519 z - 39238362 z^2 + 44228590 z^3 - 10252965 z^4 + 241395 z^5) EllipticE[1/2 - 1/(2 Sqrt[1 + z])] + (-241395 z^5 + 36465 (1 + Sqrt[1 + z]) + 15 z^4 (683531 + 65215 Sqrt[1 + z]) - 10 z^3 (4422859 + 877414 Sqrt[1 + z]) + 6 z^2 (6539727 + 2053585 Sqrt[1 + z]) - z (6665519 + 3055484 Sqrt[1 + z])) EllipticK[1/2 - 1/(2 Sqrt[1 + 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