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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=-23/5, b>=a > For fixed z and a=-23/5, b=6





http://functions.wolfram.com/07.23.03.aq7e.01









  


  








Input Form





Hypergeometric2F1[-(23/5), 6, -(18/5), -z] == (1/78125) (23 (-((5 (130609 + 490496 z + 700384 z^2 + 447716 z^3 + 107844 z^4))/(1 + z)^5) - 3019632 (-(5/23) + (5 z)/18 - (5 z^2)/13 + (5 z^3)/8 - (5 z^4)/3 + z^(23/5) (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