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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=4





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









  


  








Input Form





Hypergeometric2F1[-(15/4), 4, 1/4, z] == (1/32768) (32768 - 1076730 z + 3749460 z^2 - 3028410 z^3 + 1155 z^(3/4) (-385 + 3135 z - 6555 z^2 + 3933 z^3) ArcTan[z^(1/4)] + 1155 z^(3/4) (-385 + 3135 z - 6555 z^2 + 3933 z^3) 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