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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=-35/8, b>=a > For fixed z and a=-35/8, b=41/8





http://functions.wolfram.com/07.23.03.bd9h.01









  


  








Input Form





Hypergeometric2F1[-(35/8), 41/8, -(7/2), -z] == (1/(21760 (1 + z)^(29/8))) ((-(-21760 + 77520 z - 235365 z^2 + 870995 z^3 - 7328700 z^4 + 26347520 z^5 + 137978880 z^6 + 161021952 z^7 + 57933824 z^8)) Cos[(5 ArcTan[Sqrt[z]])/4] + Sqrt[z] (27200 - 91800 z + 276165 z^2 - 1033855 z^3 + 66694048 z^4 + 210552576 z^5 + 214855680 z^6 + 72417280 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