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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=29/8





http://functions.wolfram.com/07.23.03.bp54.01









  


  










Input Form





Hypergeometric2F1[-(15/8), 29/8, 9/2, -z] == (1/(1051479 z^(7/2) (1 + z)^(1/8))) (256 (Sqrt[z] (-80 + 39 z - 49 z^2 + 4292 z^3 + 7168 z^4 + 3072 z^5) Cos[ArcTan[Sqrt[z]]/4] - (-320 + 56 z - 121 z^2 + 651 z^3 + 1552 z^4 + 768 z^5) 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