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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=-6/5, b>=a > For fixed z and a=-6/5, b=4





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









  


  








Input Form





Hypergeometric2F1[-(6/5), 4, 9/5, -z] == -((1/(15625 z^(4/5) (1 + z))) (4 (-3865 z^(4/5) - 12980 z^(9/5) - 9240 z^(14/5) + 33 (1 + 33 z + 88 z^2 + 56 z^3) Log[1 + z^(1/5)] - 33 (-1)^(1/5) (1 + 33 z + 88 z^2 + 56 z^3) Log[1 - (-1)^(1/5) z^(1/5)] + 33 (-1)^(2/5) Log[1 + (-1)^(2/5) z^(1/5)] + 1089 (-1)^(2/5) z Log[1 + (-1)^(2/5) z^(1/5)] + 2904 (-1)^(2/5) z^2 Log[1 + (-1)^(2/5) z^(1/5)] + 1848 (-1)^(2/5) z^3 Log[1 + (-1)^(2/5) z^(1/5)] - 33 (-1)^(3/5) Log[1 - (-1)^(3/5) z^(1/5)] - 1089 (-1)^(3/5) z Log[1 - (-1)^(3/5) z^(1/5)] - 2904 (-1)^(3/5) z^2 Log[1 - (-1)^(3/5) z^(1/5)] - 1848 (-1)^(3/5) z^3 Log[1 - (-1)^(3/5) z^(1/5)] + 33 (-1)^(4/5) Log[1 + (-1)^(4/5) z^(1/5)] + 1089 (-1)^(4/5) z Log[1 + (-1)^(4/5) z^(1/5)] + 2904 (-1)^(4/5) z^2 Log[1 + (-1)^(4/5) z^(1/5)] + 1848 (-1)^(4/5) 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