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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 5 and fixed z > For fixed z and a=-19/5, b>=a > For fixed z and a=-19/5, b=2





http://functions.wolfram.com/07.23.03.ar7q.01









  


  








Input Form





Hypergeometric2F1[-(19/5), 2, -(9/5), -z] == (1/2250) (2250 - 9500 z + 49875 z^2 + 143640 z^3 + 4788 z^(14/5) (19 + 24 z) Log[1 + z^(1/5)] + 4788 (-1)^(4/5) z^(14/5) (19 + 24 z) Log[1 - (-1)^(1/5) z^(1/5)] - 90972 (-1)^(3/5) z^(14/5) Log[1 + (-1)^(2/5) z^(1/5)] - 114912 (-1)^(3/5) z^(19/5) Log[1 + (-1)^(2/5) z^(1/5)] + 90972 (-1)^(2/5) z^(14/5) Log[1 - (-1)^(3/5) z^(1/5)] + 114912 (-1)^(2/5) z^(19/5) Log[1 - (-1)^(3/5) z^(1/5)] - 90972 (-1)^(1/5) z^(14/5) Log[1 + (-1)^(4/5) z^(1/5)] - 114912 (-1)^(1/5) z^(19/5) Log[1 + (-1)^(4/5) z^(1/5)])








Standard Form





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MathML Form







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</apply> </annotation-xml> </semantics> </math>










Rule Form





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Date Added to functions.wolfram.com (modification date)





2007-05-02