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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.bah0.01









  


  








Input Form





Hypergeometric2F1[-(39/8), 29/8, -(11/2), -z] == (1/(946176 (1 + z)^(33/8))) ((-(-946176 - 833280 z + 395360 z^2 - 388219 z^3 + 546130 z^4 - 1173419 z^5 + 6508320 z^6 + 30708480 z^7 + 32845824 z^8 + 10813440 z^9)) Cos[ArcTan[Sqrt[z]]/4] + 4 Sqrt[z] (59136 + 33600 z - 30359 z^2 + 33995 z^3 - 47060 z^4 + 91884 z^5 + 1399200 z^6 + 1841664 z^7 + 675840 z^8) 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