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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=-39/8, b>=a > For fixed z and a=-39/8, b=-35/8





http://functions.wolfram.com/07.23.03.b9nm.01









  


  








Input Form





Hypergeometric2F1[-(39/8), -(35/8), -(5/2), -z] == (1/(64 (1 + z)^(1/8))) ((64 + 552 z + 2429 z^2 + 11039 z^3 - 17673 z^4 + 1197 z^5) Cos[ArcTan[Sqrt[z]]/4] + Sqrt[z] (16 + 133 z + 567 z^2 + 21167 z^3 - 7251 z^4) 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