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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=47/8





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









  


  








Input Form





Hypergeometric2F1[-(37/8), 47/8, 11/2, -z] == (1024 (Sqrt[z] (1442112 - 5244824 z + 20248583 z^2 - 107769974 z^3 + 4803520683 z^4 + 32623665360 z^5 + 78594320640 z^6 + 90433339392 z^7 + 50699894784 z^8 + 11176771584 z^9) Cos[(3 ArcTan[Sqrt[z]])/4] - (1922816 - 6712688 z + 25914023 z^2 - 139492146 z^3 + 1890689307 z^4 + 18642460980 z^5 + 50894638080 z^6 + 62738125824 z^7 + 36802461696 z^8 + 8382578688 z^9) Sin[(3 ArcTan[Sqrt[z]])/4]))/ (3449870959535 z^(9/2) (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