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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=-47/8, b>=a > For fixed z and a=-47/8, b=29/8





http://functions.wolfram.com/07.23.03.b5go.01









  


  










Input Form





Hypergeometric2F1[-(47/8), 29/8, -(7/2), -z] == (1/(8960 (1 + z)^(9/8))) ((8960 - 44720 z + 186723 z^2 - 925140 z^3 + 10053120 z^4 + 80980992 z^5 + 136642560 z^6 + 66846720 z^7) Cos[ArcTan[Sqrt[z]]/4] - Sqrt[z] (-2240 + 11880 z - 50577 z^2 + 248160 z^3 + 12572928 z^4 + 28938240 z^5 + 16711680 z^6) 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