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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=23/4





http://functions.wolfram.com/07.23.03.anr4.01









  


  








Input Form





Hypergeometric2F1[23/4, 23/4, 5, -z] == (4096 Sqrt[2] (2 (-192 - 1336 z - 4347 z^2 - 10494 z^3 + 11189 z^4) (1 + z + Sqrt[1 + z]) EllipticE[(-1 + Sqrt[1 + z])/(1 + Sqrt[1 + z])] + (-21945 z^5 + z^4 (71213 - 22378 Sqrt[1 + z]) + 384 (1 + Sqrt[1 + z]) + 16 z (185 + 167 Sqrt[1 + z]) + 9 z^3 (3037 + 2332 Sqrt[1 + z]) + 3 z^2 (3557 + 2898 Sqrt[1 + z])) EllipticK[(-1 + Sqrt[1 + z])/ (1 + Sqrt[1 + z])]))/(160527675 Pi z^4 (1 + z)^(13/2) Sqrt[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