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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=-19/4





http://functions.wolfram.com/07.23.03.9042.01









  


  










Input Form





Hypergeometric2F1[-(23/4), -(19/4), 5, z] == (1/(17876530096425 Pi z^4)) (4096 (2 Sqrt[1 - z] (-26752 + 745712 z - 12480853 z^2 + 217959203 z^3 + 7937315015 z^4 + 27479207567 z^5 + 26706305633 z^6 + 7967641193 z^7 + 579705197 z^8 + 2040885 z^9) EllipticE[(1/2) (1 - Sqrt[1 - z])] - Sqrt[1 - z] (-26752 + 745712 z - 12480853 z^2 + 217959203 z^3 + 7937315015 z^4 + 27479207567 z^5 + 26706305633 z^6 + 7967641193 z^7 + 579705197 z^8 + 2040885 z^9) EllipticK[(1/2) (1 - Sqrt[1 - z])] + 16 (1672 - 47861 z + 814891 z^2 - 14204267 z^3 + 59629675 z^4 + 1601506123 z^5 + 3880331161 z^6 + 2719601839 z^7 + 583595977 z^8 + 28572390 z^9) EllipticK[(1/2) (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