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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=-16/3, b>=a > For fixed z and a=-16/3, b=2





http://functions.wolfram.com/07.23.03.4989.01









  


  










Input Form





Hypergeometric2F1[-(16/3), 2, -(10/3), z] == (1/945) (945 + 3024 z + 8424 z^2 + 28080 z^3 + 245700 z^4 - 414960 z^5 - 7280 z^(13/3) (-16 + 19 z) Log[1 - z^(1/3)] + 7280 (-1)^(1/3) z^(13/3) (-16 + 19 z) Log[1 + (-1)^(1/3) z^(1/3)] + 116480 (-1)^(2/3) z^(13/3) Log[1 - (-1)^(2/3) z^(1/3)] - 138320 (-1)^(2/3) z^(16/3) 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