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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=-7/4, b>=a > For fixed z and a=-7/4, b=2





http://functions.wolfram.com/07.23.03.af39.01









  


  








Input Form





Hypergeometric2F1[-(7/4), 2, 21/4, z] == (1/(7864320 z^(17/4))) (221 (2 z^(1/4) (4095 - 16191 z + 20678 z^2 - 3150 z^3 + 3915 z^4 - 1155 z^5) + 315 (-1 + z)^5 (13 + 11 z) ArcTan[z^(1/4)] + 315 (-1 + z)^5 (13 + 11 z) 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