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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=-3/8





http://functions.wolfram.com/07.23.03.b9zv.01









  


  








Input Form





Hypergeometric2F1[-(39/8), -(3/8), 3/2, -z] == -((1/(566181 Sqrt[z] (1 + z)^(1/8))) (4 (Sqrt[z] (-148497 + 226149 z + 101885 z^2 + 46679 z^3 + 13584 z^4 + 1792 z^5) Cos[ArcTan[Sqrt[z]]/4] - (-27807 + 294339 z + 22379 z^2 + 10689 z^3 + 3256 z^4 + 448 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