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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=-15/4, b>=a > For fixed z and a=-15/4, b=5





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









  


  










Input Form





Hypergeometric2F1[-(15/4), 5, -(11/4), z] == (1/315392) ((1/(-1 + z)^4) (315392 + 888832 z + 3428352 z^2 + 26284032 z^3 - 217754478 z^4 + 427949730 z^5 - 335288250 z^6 + 93880710 z^7) - 140821065 z^(15/4) ArcTan[z^(1/4)] - 140821065 z^(15/4) 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