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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=-21/4, b>=a > For fixed z and a=-21/4, b=5





http://functions.wolfram.com/07.23.03.a8vv.01









  


  








Input Form





Hypergeometric2F1[-(21/4), 5, -(17/4), z] == (1/2715648) ((1/(-1 + z)^4) (2 (1357824 + 2955264 z + 7501824 z^2 + 24172544 z^3 + 120862720 z^4 + 2538117120 z^5 - 13013220605 z^6 + 21819792995 z^7 - 15611651055 z^8 + 4108329225 z^9)) + 4108329225 z^(21/4) ArcTan[z^(1/4)] - 4108329225 z^(21/4) 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