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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=-13/5, b>=a > For fixed z and a=-13/5, b=2





http://functions.wolfram.com/07.23.03.atb0.01









  


  








Input Form





Hypergeometric2F1[-(13/5), 2, -(3/5), -z] == (1/375) (375 - 3250 z - 9360 z^2 + 312 z^(8/5) (13 + 18 z) Log[1 + z^(1/5)] - 312 (-1)^(3/5) z^(8/5) (13 + 18 z) Log[1 - (-1)^(1/5) z^(1/5)] - 4056 (-1)^(1/5) z^(8/5) Log[1 + (-1)^(2/5) z^(1/5)] - 5616 (-1)^(1/5) z^(13/5) Log[1 + (-1)^(2/5) z^(1/5)] + 4056 (-1)^(4/5) z^(8/5) Log[1 - (-1)^(3/5) z^(1/5)] + 5616 (-1)^(4/5) z^(13/5) Log[1 - (-1)^(3/5) z^(1/5)] + 4056 (-1)^(2/5) z^(8/5) Log[1 + (-1)^(4/5) z^(1/5)] + 5616 (-1)^(2/5) z^(13/5) Log[1 + (-1)^(4/5) z^(1/5)])








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