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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=-11/4, b>=a > For fixed z and a=-11/4, b=-7/4





http://functions.wolfram.com/07.23.03.ad0w.01









  


  










Input Form





Hypergeometric2F1[-(11/4), -(7/4), 5, z] == (1/(9925613775 Pi z^4)) (4096 (2 Sqrt[1 - z] (-896 + 11088 z - 73017 z^2 + 430108 z^3 + 2766258 z^4 + 1094364 z^5 + 15295 z^6) EllipticE[(1/2) (1 - Sqrt[1 - z])] - Sqrt[1 - z] (-896 + 11088 z - 73017 z^2 + 430108 z^3 + 2766258 z^4 + 1094364 z^5 + 15295 z^6) EllipticK[(1/2) (1 - Sqrt[1 - z])] + 2 (448 - 5880 z + 40635 z^2 - 242060 z^3 + 1199010 z^4 + 2685132 z^5 + 565915 z^6) EllipticK[(1/2) (1 - 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