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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=-15/4, b>=a > For fixed z and a=-15/4, b=6





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









  


  








Input Form





Hypergeometric2F1[-(15/4), 6, 9/4, z] == (1/(134217728 z^(5/4))) (-2 z^(1/4) (266805 - 41709028 z + 287541630 z^2 - 563284260 z^3 + 328582485 z^4) + 1155 (231 + 21945 z - 336490 z^2 + 1297890 z^3 - 1828845 z^4 + 853461 z^5) ArcTan[z^(1/4)] + 1155 (231 + 21945 z - 336490 z^2 + 1297890 z^3 - 1828845 z^4 + 853461 z^5) 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