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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=-5/4, b>=a > For fixed z and a=-5/4, b=6





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









  


  










Input Form





Hypergeometric2F1[-(5/4), 6, 3/4, z] == (1/65536) ((65536 - 871094 z + 2944536 z^2 - 4226404 z^3 + 2784600 z^4 - 696150 z^5)/(-1 + z)^4 - 69615 z^(1/4) (-1 + 5 z) ArcTan[z^(1/4)] + 69615 z^(1/4) (-1 + 5 z) 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