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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=-13/4, b>=a > For fixed z and a=-13/4, b=1





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









  


  










Input Form





Hypergeometric2F1[-(13/4), 1, 19/4, z] == (1/(3670016 z^(15/4))) (2 z^(3/4) (15015 - 98670 z + 274365 z^2 + 1418956 z^3 - 887887 z^4 + 306306 z^5 - 45045 z^6) - 45045 (-1 + z)^7 ArcTan[z^(1/4)] + 45045 (-1 + z)^7 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