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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 8 and fixed z and a<0 > For fixed z and a=-37/8, b>=a > For fixed z and a=-37/8, b=15/8





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









  


  








Input Form





Hypergeometric2F1[-(37/8), 15/8, 7/2, -z] == (64 (Sqrt[z] (-167388 - 488215 z + 2837051 z^2 + 9596859 z^3 + 13653605 z^4 + 10354400 z^5 + 4112640 z^6 + 675840 z^7) Cos[(3 ArcTan[Sqrt[z]])/4] - (-223184 - 683501 z + 1464645 z^2 + 6049813 z^3 + 9261895 z^4 + 7343700 z^5 + 3010560 z^6 + 506880 z^7) Sin[(3 ArcTan[Sqrt[z]])/4]))/(107069655 z^(5/2) (1 + z)^(3/8))








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