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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=-23/4, b>=a > For fixed z and a=-23/4, b=5





http://functions.wolfram.com/07.23.03.a7rs.01









  


  








Input Form





Hypergeometric2F1[-(23/4), 5, -(3/4), z] == (1/25165824) (2 (12582912 + 482344960 z - 15362356995 z^2 + 75774534885 z^3 - 123687835425 z^4 + 64073584575 z^5) - 504735 z^(7/4) (24035 - 235980 z + 731538 z^2 - 898380 z^3 + 380835 z^4) ArcTan[z^(1/4)] - 504735 z^(7/4) (24035 - 235980 z + 731538 z^2 - 898380 z^3 + 380835 z^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