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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=-15/8, b>=a > For fixed z and a=-15/8, b=21/8





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









  


  








Input Form





Hypergeometric2F1[-(15/8), 21/8, -(11/2), -z] == (1/(135168 (1 + z)^(49/8))) ((135168 + 702720 z + 1404000 z^2 + 1250197 z^3 + 333645 z^4 - 101413 z^5 + 148915 z^6 + 187920 z^7 + 51968 z^8) Cos[ArcTan[Sqrt[z]]/4] + 2 Sqrt[z] (16896 + 82560 z + 151086 z^2 + 115115 z^3 + 15080 z^4 - 12441 z^5 - 21460 z^6 - 6496 z^7) Sin[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