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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 3 and fixed z > For fixed z and a=-8/3, b>=a > For fixed z and a=-8/3, b=6





http://functions.wolfram.com/07.23.03.6450.01









  


  










Input Form





Hypergeometric2F1[-(8/3), 6, 10/3, z] == (1/(7971615 z^(7/3))) (7 (3 z^(1/3) (-320 - 4480 z + 255255 z^2 - 806344 z^3 + 602140 z^4) + 40 (-8 - 110 z - 3080 z^2 + 26180 z^3 - 52360 z^4 + 30107 z^5) Log[1 - z^(1/3)] + 40 (-1)^(2/3) (-8 - 110 z - 3080 z^2 + 26180 z^3 - 52360 z^4 + 30107 z^5) Log[1 + (-1)^(1/3) z^(1/3)] - 40 (-1)^(1/3) (-8 - 110 z - 3080 z^2 + 26180 z^3 - 52360 z^4 + 30107 z^5) Log[1 - (-1)^(2/3) z^(1/3)]))










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