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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=-13/4, b>=a > For fixed z and a=-13/4, b=6





http://functions.wolfram.com/07.23.03.acx8.01









  


  










Input Form





Hypergeometric2F1[-(13/4), 6, 11/4, z] == -((1/(134217728 z^(7/4))) (7 (2 z^(3/4) (4563 - 9455740 z + 62607090 z^2 - 117899964 z^3 + 66621555 z^4) + 117 (117 + 3315 z - 139230 z^2 + 696150 z^3 - 1121575 z^4 + 569415 z^5) ArcTan[z^(1/4)] - 117 (117 + 3315 z - 139230 z^2 + 696150 z^3 - 1121575 z^4 + 569415 z^5) 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