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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=-11/8, b>=a > For fixed z and a=-11/8, b=25/8





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









  


  








Input Form





Hypergeometric2F1[-(11/8), 25/8, -(11/2), -z] == (1/(86016 (1 + z)^(53/8))) ((86016 + 435456 z + 829920 z^2 + 651905 z^3 + 34425 z^4 - 191505 z^5 + 145095 z^6 + 171600 z^7 + 44800 z^8) Cos[(5 ArcTan[Sqrt[z]])/4] + 2 Sqrt[z] (53760 + 282240 z + 569982 z^2 + 506327 z^3 + 102000 z^4 - 110925 z^5 - 112500 z^6 - 28000 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