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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=-3/4





http://functions.wolfram.com/07.23.03.9382.01









  


  








Input Form





Hypergeometric2F1[-(23/4), -(3/4), 3, z] == (1/(140821065 Pi z^2)) (64 (2 Sqrt[1 - z] (-8740 + 181355 z + 3129588 z^2 + 1229306 z^3 - 378664 z^4 + 109971 z^5 - 21664 z^6 + 2048 z^7) EllipticE[(1/2) (1 - Sqrt[1 - z])] - 2 (-4370 + 93955 z - 703236 z^2 - 3590630 z^3 - 50870 z^4 + 14475 z^5 - 2780 z^6 + 256 z^7) EllipticK[(1/2) (1 - Sqrt[1 - z])] - Sqrt[1 - z] (-8740 + 181355 z + 3129588 z^2 + 1229306 z^3 - 378664 z^4 + 109971 z^5 - 21664 z^6 + 2048 z^7) EllipticK[(1/2) (1 - Sqrt[1 - z])]))








Standard Form





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Rule Form





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Date Added to functions.wolfram.com (modification date)





2007-05-02