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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=-19/4, b>=a > For fixed z and a=-19/4, b=6





http://functions.wolfram.com/07.23.03.a9xe.01









  


  










Input Form





Hypergeometric2F1[-(19/4), 6, -(11/4), z] == (1/(720896 (-1 + z)^4)) (720896 + 4587520 z + 30474240 z^2 + 365690880 z^3 - 5162412330 z^4 + 16623469512 z^5 - 23060516220 z^6 + 14859975240 z^7 - 3661347690 z^8 + 140821065 (-1 + z)^4 z^(15/4) (-19 + 39 z) ArcTan[z^(1/4)] + 140821065 (-1 + z)^4 z^(15/4) (-19 + 39 z) 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