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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=47/8





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









  


  








Input Form





Hypergeometric2F1[27/8, 47/8, -(9/2), -z] == (1/(1024 (1 + z)^(107/8))) ((1024 + 17920 z + 159564 z^2 + 1020679 z^3 + 6080074 z^4 + 62634429 z^5 - 228069400 z^6 + 126987953 z^7 - 9954318 z^8 - 273493 z^9 - 8272 z^10) Cos[(3 ArcTan[Sqrt[z]])/4] + Sqrt[z] (768 + 13328 z + 117755 z^2 + 748770 z^3 + 4454593 z^4 - 160056104 z^5 + 209337261 z^6 - 48776422 z^7 + 204215 z^8 + 6204 z^9) 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