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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.a7rq.01









  


  








Input Form





Hypergeometric2F1[-(23/4), 5, -(7/4), z] == (1/(3670016 (-1 + z))) (-2 (1835008 + 28311552 z + 542638080 z^2 - 10694633265 z^3 + 38777000535 z^4 - 49991478075 z^5 + 21357861525 z^6) + 4542615 z^(11/4) (2185 - 15732 z + 38502 z^2 - 39060 z^3 + 14105 z^4) ArcTan[z^(1/4)] + 4542615 z^(11/4) (2185 - 15732 z + 38502 z^2 - 39060 z^3 + 14105 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