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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=4





http://functions.wolfram.com/07.23.03.aat6.01









  


  








Input Form





Hypergeometric2F1[-(17/4), 4, -(5/4), z] == (1/(40960 (-1 + z))) (2 (-20480 - 258048 z - 8773632 z^2 + 58236815 z^3 - 99549450 z^4 + 50470875 z^5) + 69615 z^(9/4) (-221 + 1071 z - 1575 z^2 + 725 z^3) ArcTan[z^(1/4)] - 69615 z^(9/4) (-221 + 1071 z - 1575 z^2 + 725 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