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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=18/5, b>=a > For fixed z and a=18/5, b=6





http://functions.wolfram.com/07.23.03.b3ah.01









  


  








Input Form





Hypergeometric2F1[18/5, 6, 23/5, -z] == (1/156250) (3 ((5 (10538 + 3682 z + 1043 z^2 + 567 z^3 + 168 z^4))/ (1 + z)^5 - (1/z^(18/5)) (7 (520 z^(3/5) - 195 z^(8/5) + 120 z^(13/5) - 312 Log[1 + z^(1/5)] - 312 (-1)^(2/5) Log[1 - (-1)^(1/5) z^(1/5)] - 312 (-1)^(4/5) Log[1 + (-1)^(2/5) z^(1/5)] + 312 (-1)^(1/5) Log[1 - (-1)^(3/5) z^(1/5)] + 312 (-1)^(3/5) 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