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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=4





http://functions.wolfram.com/07.23.03.atf6.01









  


  








Input Form





Hypergeometric2F1[-(13/5), 4, -(8/5), -z] == (1/1875) (13 (-((5 (417 + 714 z + 322 z^2))/(1 + z)^3) - 5796 (-(5/13) + (5 z)/8 - (5 z^2)/3 + z^(13/5) (Log[1 + z^(1/5)] - (-1)^(3/5) Log[1 - (-1)^(1/5) z^(1/5)] - (-1)^(1/5) Log[1 + (-1)^(2/5) z^(1/5)] + (-1)^(4/5) Log[1 - (-1)^(3/5) z^(1/5)] + (-1)^(2/5) 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