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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=7/4





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









  


  








Input Form





Hypergeometric2F1[-(15/4), 7/4, 3, -z] == (1/(504735 Pi z^2)) (64 (1 + z)^(1/4) (2 (1540 + 1925 z + 9082 z^2 + 12389 z^3 + 7420 z^4 + 1680 z^5) EllipticE[1/2 - 1/(2 Sqrt[1 + z])] + 2 Sqrt[1 + z] (-770 - 385 z + 3544 z^2 + 7895 z^3 + 6160 z^4 + 1680 z^5) EllipticK[1/2 - 1/(2 Sqrt[1 + z])] - (1540 + 1925 z + 9082 z^2 + 12389 z^3 + 7420 z^4 + 1680 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