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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=-21/4, b>=a > For fixed z and a=-21/4, b=6





http://functions.wolfram.com/07.23.03.a8zm.01









  


  








Input Form





Hypergeometric2F1[-(21/4), 6, 19/4, z] == -((1/(1649267441664 z^(15/4))) (55 (2 z^(3/4) (357357 + 2784600 z + 20773116 z^2 - 14725707000 z^3 + 91404508734 z^4 - 219925797336 z^5 + 258090917084 z^6 - 148557184776 z^7 + 33688299645 z^8) + 13923 (-1 + z)^4 (77 + 875 z + 7250 z^2 + 79750 z^3 - 1475375 z^4 + 2419615 z^5) ArcTan[z^(1/4)] - 13923 (-1 + z)^4 (77 + 875 z + 7250 z^2 + 79750 z^3 - 1475375 z^4 + 2419615 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