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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=3/5, b>=a > For fixed z and a=3/5, b=4





http://functions.wolfram.com/07.23.03.ayj5.01









  


  








Input Form





Hypergeometric2F1[3/5, 4, 18/5, -z] == -((1/(15625 z^(13/5) (1 + z))) (52 (-1)^(1/5) (-40 (-1)^(4/5) z^(3/5) + 45 (-1)^(4/5) z^(8/5) + 210 (-1)^(4/5) z^(13/5) + 6 (-1)^(4/5) (4 - 3 z + 7 z^2 + 14 z^3) Log[1 + z^(1/5)] - 6 (-1)^(1/5) (4 - 3 z + 7 z^2 + 14 z^3) Log[1 - (-1)^(1/5) z^(1/5)] - 24 (-1)^(3/5) Log[1 + (-1)^(2/5) z^(1/5)] + 18 (-1)^(3/5) z Log[1 + (-1)^(2/5) z^(1/5)] - 42 (-1)^(3/5) z^2 Log[1 + (-1)^(2/5) z^(1/5)] - 84 (-1)^(3/5) z^3 Log[1 + (-1)^(2/5) z^(1/5)] + 24 Log[1 - (-1)^(3/5) z^(1/5)] - 18 z Log[1 - (-1)^(3/5) z^(1/5)] + 42 z^2 Log[1 - (-1)^(3/5) z^(1/5)] + 84 z^3 Log[1 - (-1)^(3/5) z^(1/5)] + 24 (-1)^(2/5) Log[1 + (-1)^(4/5) z^(1/5)] - 18 (-1)^(2/5) z Log[1 + (-1)^(4/5) z^(1/5)] + 42 (-1)^(2/5) z^2 Log[1 + (-1)^(4/5) z^(1/5)] + 84 (-1)^(2/5) 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