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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=-15/4, b>=a > For fixed z and a=-15/4, b=21/4





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









  


  








Input Form





Hypergeometric2F1[-(15/4), 21/4, 1, -z] == (2 Sqrt[2] ((1593269 + 24311168 z + 93173760 z^2 + 128909312 z^3 + 58720256 z^4) (1 + Sqrt[1 + z]) EllipticE[(-1 + Sqrt[1 + z])/ (1 + Sqrt[1 + z])] - (1593269 + 58720256 z^4 + 827504 Sqrt[1 + z] + 458752 z^3 (281 + 32 Sqrt[1 + z]) + 55296 z^2 (1685 + 392 Sqrt[1 + z]) + 128 z (189931 + 68664 Sqrt[1 + z])) EllipticK[(-1 + Sqrt[1 + z])/(1 + Sqrt[1 + z])]))/ (765765 Pi Sqrt[1 + z] 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