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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.aapv.01









  


  










Input Form





Hypergeometric2F1[-(17/4), 3, -(9/4), z] == (1/(3840 (-1 + z))) (-2 (1920 + 8960 z + 45696 z^2 + 792064 z^3 - 2575755 z^4 + 1740375 z^5) - 69615 z^(13/4) (17 - 42 z + 25 z^2) ArcTan[z^(1/4)] + 69615 z^(13/4) (17 - 42 z + 25 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