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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=5





http://functions.wolfram.com/07.23.03.a7s6.01









  


  










Input Form





Hypergeometric2F1[-(23/4), 5, 17/4, z] == (1/(962072674304 z^(13/4))) (13 (-2 z^(1/4) (7571025 + 54511380 z + 477815800 z^2 - 20579919276 z^3 + 98564259570 z^4 - 199067143140 z^5 + 203396825520 z^6 - 104207588100 z^7 + 21357861525 z^8) + 1514205 (-1 + z)^5 (-5 - 60 z - 558 z^2 - 13020 z^3 + 42315 z^4) ArcTan[z^(1/4)] + 1514205 (-1 + z)^5 (-5 - 60 z - 558 z^2 - 13020 z^3 + 42315 z^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