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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=21/8





http://functions.wolfram.com/07.23.03.b5cf.01









  


  








Input Form





Hypergeometric2F1[-(47/8), 21/8, 3/2, -z] == (1/(2291685 Sqrt[z] (1 + z)^(1/8))) (4 (Sqrt[z] (581299 + 6169210 z + 22571543 z^2 + 40082400 z^3 + 37832960 z^4 + 18337792 z^5 + 3604480 z^6) Cos[ArcTan[Sqrt[z]]/4] - (33511 + 767850 z + 3726115 z^2 + 7776688 z^3 + 8187520 z^4 + 4302848 z^5 + 901120 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