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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, b>=a > For fixed z and a=3, b=18/5





http://functions.wolfram.com/07.23.03.b2ey.01









  


  








Input Form





Hypergeometric2F1[3, 18/5, 23/5, z] == (9 (-3 + 8 z))/(25 (-1 + z)^2) + (936/125) (-5 (1/(3 z^3) + 1/(8 z^2) + 1/(13 z)) - (1/z^(18/5)) (Log[1 - z^(1/5)] + Log[1 - z^(1/5)/E^((2 I Pi)/5)]/ E^((4 I Pi)/5) + E^((4 I Pi)/5) Log[1 - E^((2 I Pi)/5) z^(1/5)] + E^((2 I Pi)/5) Log[1 - z^(1/5)/E^((4 I Pi)/5)] + Log[1 - E^((4 I Pi)/5) z^(1/5)]/E^((2 I Pi)/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