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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=3





http://functions.wolfram.com/07.23.03.a9mh.01









  


  








Input Form





Hypergeometric2F1[-(19/4), 3, 5/4, z] == (1/(2621440 z^(1/4))) (2 z^(1/4) (849875 - 6585552 z + 15236670 z^2 - 14036440 z^3 + 4542615 z^4) - 21945 (-1 + z)^3 (21 - 322 z + 621 z^2) ArcTan[z^(1/4)] - 21945 (-1 + z)^3 (21 - 322 z + 621 z^2) 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