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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=3





http://functions.wolfram.com/07.23.03.9827.01









  


  








Input Form





Hypergeometric2F1[-(23/4), 3, 21/4, z] == (1/(601295421440 z^(17/4))) (221 (-2 z^(1/4) (19684665 - 71773317 z + 24900260 z^2 + 61241180 z^3 - 606782610 z^4 + 1359767130 z^5 - 1530938604 z^6 + 966390540 z^7 - 328149855 z^8 + 46940355 z^9) + 1514205 (-1 + z)^8 (13 + 54 z + 93 z^2) ArcTan[z^(1/4)] + 1514205 (-1 + z)^8 (13 + 54 z + 93 z^2) 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