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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=21/8





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









  


  








Input Form





Hypergeometric2F1[-(39/8), 21/8, 3/2, -z] == (1/(134805 Sqrt[z] (1 + z)^(1/8))) (4 (4 Sqrt[z] (8559 + 75693 z + 221620 z^2 + 295264 z^3 + 185856 z^4 + 45056 z^5) Cos[ArcTan[Sqrt[z]]/4] - (2139 + 40638 z + 157147 z^2 + 245280 z^3 + 171776 z^4 + 45056 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