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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=-15/4, b>=a > For fixed z and a=-15/4, b=19/4





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









  


  








Input Form





Hypergeometric2F1[-(15/4), 19/4, 3, -z] == (1/(504735 Pi z^2)) (64 (1 + z)^(1/4) (8 (-7 + 112 z + 3498 z^2 + 12732 z^3 + 15600 z^4 + 6240 z^5) EllipticE[1/2 - 1/(2 Sqrt[1 + z])] - 4 (-7 + 112 z + 3498 z^2 + 12732 z^3 + 15600 z^4 + 6240 z^5) EllipticK[1/2 - 1/(2 Sqrt[1 + z])] + Sqrt[1 + z] (28 - 469 z + 2136 z^2 + 40080 z^3 + 87360 z^4 + 49920 z^5) 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