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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=-27/8





http://functions.wolfram.com/07.23.03.b9r5.01









  


  








Input Form





Hypergeometric2F1[-(39/8), -(27/8), 11/2, -z] == (1024 (2 Sqrt[z] (32 + 668 z + 7629 z^2 + 73216 z^3 + 19384079 z^4 - 62780406 z^5 + 48607531 z^6 - 9739748 z^7 + 283833 z^8 + 3102 z^9) Cos[ArcTan[Sqrt[z]]/4] - (256 + 5424 z + 62681 z^2 + 604373 z^3 + 9357777 z^4 - 85780123 z^5 + 129997283 z^6 - 52209273 z^7 + 4656499 z^8 + 1551 z^9) Sin[ArcTan[Sqrt[z]]/4]))/ (37348635775 z^(9/2) (1 + z)^(1/8))








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