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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=-23/4, b>=a > For fixed z and a=-23/4, b=6





http://functions.wolfram.com/07.23.03.a7vc.01









  


  










Input Form





Hypergeometric2F1[-(23/4), 6, -(15/4), z] == (1/(3604480 (-1 + z)^4)) (3604480 + 18743296 z + 89456640 z^2 + 528220160 z^3 + 5942476800 z^4 - 79801362810 z^5 + 249681722472 z^6 - 339475085820 z^7 + 215496464040 z^8 - 52479316890 z^9 + 1830673845 (-1 + z)^4 z^(19/4) (-23 + 43 z) ArcTan[z^(1/4)] + 1830673845 (-1 + z)^4 z^(19/4) (-23 + 43 z) 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