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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=-1/4





http://functions.wolfram.com/07.23.03.9439.01









  


  








Input Form





Hypergeometric2F1[-(23/4), -(1/4), 3, -z] == (1/(1267389585 Pi z^2)) (64 (1 + z)^(1/4) (-2 (134596 + 2321781 z - 54087384 z^2 + 3687918 z^3 + 1746432 z^4 + 633141 z^5 + 144060 z^6 + 15120 z^7) EllipticE[1/2 - 1/(2 Sqrt[1 + z])] - 2 Sqrt[1 + z] (-67298 - 1110417 z + 8065656 z^2 + 2706234 z^3 + 1354626 z^4 + 534735 z^5 + 132720 z^6 + 15120 z^7) EllipticK[1/2 - 1/(2 Sqrt[1 + z])] + (134596 + 2321781 z - 54087384 z^2 + 3687918 z^3 + 1746432 z^4 + 633141 z^5 + 144060 z^6 + 15120 z^7) 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