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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=1





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









  


  










Input Form





Hypergeometric2F1[-(17/4), 1, -(5/4), z] == (1/320) (2 (160 + 544 z + 7072 z^2 - 17901 z^3 + 9945 z^4) + 9945 (-1 + z)^2 z^(9/4) ArcTan[z^(1/4)] - 9945 (-1 + z)^2 z^(9/4) 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