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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=15/4





http://functions.wolfram.com/07.23.03.adj4.01









  


  








Input Form





Hypergeometric2F1[-(11/4), 15/4, 4, z] == (1/(504735 Pi Sqrt[1 + Sqrt[z]] z^3)) (256 ((-32 - 32 Sqrt[z] - 75 z - 75 z^(3/2) - 303 z^2 - 303 z^(5/2) + 2602 z^3 + 2602 z^(7/2) - 3600 z^4 - 3600 z^(9/2) + 1440 z^5 + 1440 z^(11/2)) EllipticE[(2 Sqrt[z])/(1 + Sqrt[z])] - (-32 - 67 z - 282 z^2 - 1259 z^3 + 6680 z^4 - 7920 z^5 + 2880 z^6) EllipticK[(2 Sqrt[z])/(1 + Sqrt[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