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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=29/8, b>=a > For fixed z and a=29/8, b=33/8





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









  


  








Input Form





Hypergeometric2F1[29/8, 33/8, -(9/2), -z] == (1/(21504 (1 + z)^(93/8))) ((21504 + 304640 z + 2162940 z^2 + 10911043 z^3 + 51443535 z^4 + 439332894 z^5 - 857112230 z^6 + 227120175 z^7 - 5458453 z^8) Cos[(5 ArcTan[Sqrt[z]])/4] + Sqrt[z] (26880 + 385840 z + 2775201 z^2 + 14147705 z^3 + 66876810 z^4 - 819563966 z^5 + 558884805 z^6 - 53017339 z^7) Sin[(5 ArcTan[Sqrt[z]])/4])








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