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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=29/8





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









  


  








Input Form





Hypergeometric2F1[-(39/8), 29/8, 3/2, -z] == (1/(943635 Sqrt[z] (1 + z)^(1/8))) (4 (Sqrt[z] (238939 + 2902551 z + 10804192 z^2 + 17467648 z^3 + 12931072 z^4 + 3604480 z^5) Cos[ArcTan[Sqrt[z]]/4] - (12121 + 349349 z + 1805296 z^2 + 3518592 z^3 + 2951168 z^4 + 901120 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