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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=27/8, b>=a > For fixed z and a=27/8, b=39/8





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









  


  








Input Form





Hypergeometric2F1[27/8, 39/8, -(9/2), -z] == (1/(1024 (1 + z)^(99/8))) (-4 (-256 - 4032 z - 31935 z^2 - 179146 z^3 - 920238 z^4 - 8030847 z^5 + 23081701 z^6 - 9534840 z^7 + 483912 z^8 + 6721 z^9) Cos[(3 ArcTan[Sqrt[z]])/4] + Sqrt[z] (768 + 11984 z + 94083 z^2 + 524106 z^3 + 2687245 z^4 - 73268964 z^5 + 73789773 z^6 - 12096406 z^7 + 20163 z^8) Sin[(3 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