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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=2, b>=a > For fixed z and a=2, b=22/5





http://functions.wolfram.com/07.23.03.b148.01









  


  










Input Form





Hypergeometric2F1[2, 22/5, 27/5, z] == -(22/(5 (-1 + z))) - (374/25) (-5 (1/(2 z^4) + 1/(7 z^3) + 1/(12 z^2) + 1/(17 z)) - (1/z^(22/5)) (Log[1 - z^(1/5)] + E^((4 I Pi)/5) Log[1 - z^(1/5)/E^((2 I Pi)/5)] + Log[1 - E^((2 I Pi)/5) z^(1/5)]/ E^((4 I Pi)/5) + Log[1 - z^(1/5)/E^((4 I Pi)/5)]/E^((2 I Pi)/5) + E^((2 I Pi)/5) Log[1 - E^((4 I Pi)/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