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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=-23/4, b>=a > For fixed z and a=-23/4, b=7/4





http://functions.wolfram.com/07.23.03.9655.01









  


  








Input Form





Hypergeometric2F1[-(23/4), 7/4, 2, -z] == (1/(13627845 Pi z)) (8 (1 + z)^(1/4) (2 (168245 + 2739027 z + 9245055 z^2 + 14614761 z^3 + 12316248 z^4 + 5377680 z^5 + 960960 z^6) EllipticE[1/2 - 1/(2 Sqrt[1 + z])] - (168245 + 2739027 z + 9245055 z^2 + 14614761 z^3 + 12316248 z^4 + 5377680 z^5 + 960960 z^6) EllipticK[1/2 - 1/(2 Sqrt[1 + z])] + Sqrt[1 + z] (-168245 + 794118 z + 7067979 z^2 + 16494576 z^3 + 17791200 z^4 + 9313920 z^5 + 1921920 z^6) 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