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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 4 and fixed z > For fixed z and a=-17/4, b>=a > For fixed z and a=-17/4, b=6





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









  


  








Input Form





Hypergeometric2F1[-(17/4), 6, -(13/4), z] == (1/3194880) ((1/(-1 + z)^5) (2 (-1597440 - 4546560 z - 16670720 z^2 - 96690176 z^3 - 2417254400 z^4 + 15551337725 z^5 - 34833013600 z^6 + 37431444050 z^7 - 19719980280 z^8 + 4108329225 z^9)) + 4108329225 z^(17/4) ArcTan[z^(1/4)] - 4108329225 z^(17/4) ArcTanh[z^(1/4)])








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