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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=7/5, b>=a > For fixed z and a=7/5, b=4





http://functions.wolfram.com/07.23.03.b03c.01









  


  








Input Form





Hypergeometric2F1[7/5, 4, 27/5, z] == -((1/(234375 z^(22/5))) (5236 (-1)^(1/5) (-1785 (-1)^(4/5) z^(2/5) + 120 (-1)^(4/5) z^(7/5) + 40 (-1)^(4/5) z^(12/5) + 3 (-1)^(4/5) (-238 + 84 z + 21 z^2 + 8 z^3) Log[1 - z^(1/5)] + 3 (-1)^(2/5) (-238 + 84 z + 21 z^2 + 8 z^3) Log[1 + (-1)^(1/5) z^(1/5)] - 714 Log[1 - (-1)^(2/5) z^(1/5)] + 252 z Log[1 - (-1)^(2/5) z^(1/5)] + 63 z^2 Log[1 - (-1)^(2/5) z^(1/5)] + 24 z^3 Log[1 - (-1)^(2/5) z^(1/5)] + 714 (-1)^(3/5) Log[1 + (-1)^(3/5) z^(1/5)] - 252 (-1)^(3/5) z Log[1 + (-1)^(3/5) z^(1/5)] - 63 (-1)^(3/5) z^2 Log[1 + (-1)^(3/5) z^(1/5)] - 24 (-1)^(3/5) z^3 Log[1 + (-1)^(3/5) z^(1/5)] + 714 (-1)^(1/5) Log[1 - (-1)^(4/5) z^(1/5)] - 252 (-1)^(1/5) z Log[1 - (-1)^(4/5) z^(1/5)] - 63 (-1)^(1/5) z^2 Log[1 - (-1)^(4/5) z^(1/5)] - 24 (-1)^(1/5) z^3 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