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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=5/4





http://functions.wolfram.com/07.23.03.9591.01









  


  








Input Form





Hypergeometric2F1[-(23/4), 5/4, 1, -z] == (1/(504735 Pi Sqrt[1 + Sqrt[1 + z]])) (2 Sqrt[2] (Sqrt[1 + z] (873129 + 4585734 z + 9424941 z^2 + 9598336 z^3 + 4864000 z^4 + 983040 z^5) EllipticE[(-1 + Sqrt[1 + z])/ (1 + Sqrt[1 + z])] + (873129 + 5458863 z + 14010675 z^2 + 19023277 z^3 + 14462336 z^4 + 5847040 z^5 + 983040 z^6) EllipticE[(-1 + Sqrt[1 + z])/(1 + Sqrt[1 + z])] - 2 (184197 + 790626 z + 1446741 z^2 + 1354952 z^3 + 642560 z^4 + 122880 z^5) EllipticK[(-1 + Sqrt[1 + z])/(1 + Sqrt[1 + z])] - Sqrt[1 + z] (873129 + 4585734 z + 9424941 z^2 + 9598336 z^3 + 4864000 z^4 + 983040 z^5) EllipticK[(-1 + Sqrt[1 + z])/ (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