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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.aapx.01









  


  










Input Form





Hypergeometric2F1[-(17/4), 3, -(1/4), z] == (1/8192) (8192 + 417792 z - 3362294 z^2 + 6404580 z^3 - 3480750 z^4 - 9945 z^(5/4) (-39 + 221 z - 357 z^2 + 175 z^3) ArcTan[z^(1/4)] + 9945 z^(5/4) (-39 + 221 z - 357 z^2 + 175 z^3) 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