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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.a8ze.01









  


  








Input Form





Hypergeometric2F1[-(21/4), 6, 3/4, z] == (1/134217728) (2 (67108864 - 2753955645 z + 22370141220 z^2 - 65767812110 z^3 + 79537253796 z^4 - 33688299645 z^5) - 13923 z^(1/4) (-13923 + 348075 z - 2243150 z^2 + 5694150 z^3 - 6196575 z^4 + 2419615 z^5) ArcTan[z^(1/4)] + 13923 z^(1/4) (-13923 + 348075 z - 2243150 z^2 + 5694150 z^3 - 6196575 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