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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=-17/4, b>=a > For fixed z and a=-17/4, b=3





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









  


  










Input Form





Hypergeometric2F1[-(17/4), 3, -(5/4), z] == (1/10240) (2 (5120 + 52224 z + 1357824 z^2 - 6056505 z^3 + 5221125 z^4) + 9945 z^(9/4) (221 - 714 z + 525 z^2) ArcTan[z^(1/4)] - 9945 z^(9/4) (221 - 714 z + 525 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