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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=1





http://functions.wolfram.com/07.23.03.9573.01









  


  










Input Form





Hypergeometric2F1[-(23/4), 1, 21/4, z] == (1/(169114337280 z^(17/4))) (17 (-2 z^(1/4) (19684665 - 192909717 z + 848627780 z^2 - 2205355460 z^3 - 1228164210 z^4 + 1108916250 z^5 - 677425164 z^6 + 268938540 z^7 - 62803455 z^8 + 6561555 z^9) + 19684665 (-1 + z)^10 ArcTan[z^(1/4)] + 19684665 (-1 + z)^10 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