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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=-35/8





http://functions.wolfram.com/07.23.03.b4o9.01









  


  








Input Form





Hypergeometric2F1[-(47/8), -(35/8), -(3/2), -z] == (1/(48 (1 + z)^(1/8))) ((48 + 827 z + 13608 z^2 - 93702 z^3 + 70572 z^4 - 5565 z^5 - 140 z^6) Cos[ArcTan[Sqrt[z]]/4] + Sqrt[z] (12 + 203 z + 50988 z^2 - 103158 z^3 + 28608 z^4 + 35 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