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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=19/5





http://functions.wolfram.com/07.23.03.b2fl.01









  


  








Input Form





Hypergeometric2F1[3, 19/5, 24/5, -z] == -((19 (4 + 9 z))/(50 (1 + z)^2)) + (1197/125) (-5 (-(1/(4 z^3)) + 1/(9 z^2) - 1/(14 z)) - (1/z^(19/5)) (-Log[1 + z^(1/5)] + Log[1 - z^(1/5)/E^((I Pi)/5)]/ E^((I Pi)/5) + E^((I Pi)/5) Log[1 - E^((I Pi)/5) z^(1/5)] + Log[1 - z^(1/5)/E^((3 I Pi)/5)]/E^((3 I Pi)/5) + E^((3 I Pi)/5) Log[1 - E^((3 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