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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.a7vz.01









  


  








Input Form





Hypergeometric2F1[-(23/4), 6, 21/4, z] == (1/(153931627888640 z^(17/4))) (221 (-2 z^(1/4) (19684665 + 109931283 z + 606354980 z^2 + 4793636540 z^3 - 192185031570 z^4 + 893518843050 z^5 - 1769678694252 z^6 + 1782897098220 z^7 - 903742654815 z^8 + 183677609115 z^9) + 1514205 (-1 + z)^5 (-13 - 135 z - 930 z^2 - 6510 z^3 - 126945 z^4 + 363909 z^5) ArcTan[z^(1/4)] + 1514205 (-1 + z)^5 (-13 - 135 z - 930 z^2 - 6510 z^3 - 126945 z^4 + 363909 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