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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=-9/4





http://functions.wolfram.com/07.23.03.ab52.01









  


  








Input Form





Hypergeometric2F1[-(15/4), -(9/4), 3, -z] == (1/(334639305 Pi z^2)) (64 (1 + z)^(1/4) (-2 (13860 + 336105 z - 16479044 z^2 + 32618022 z^3 - 9291000 z^4 + 9945 z^5) EllipticE[1/2 - 1/(2 Sqrt[1 + z])] + (13860 + 336105 z - 16479044 z^2 + 32618022 z^3 - 9291000 z^4 + 9945 z^5) EllipticK[1/2 - 1/(2 Sqrt[1 + z])] - 2 Sqrt[1 + z] (-6930 - 162855 z + 3132112 z^2 - 3644250 z^3 + 417690 z^4 + 9945 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