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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=4





http://functions.wolfram.com/07.23.03.5034.01









  


  










Input Form





Hypergeometric2F1[-(16/3), 4, -(13/3), -z] == (1/22113) (-((1/(1 + z)^3) (3 (-7371 + 14175 z - 31185 z^2 + 84645 z^3 - 338580 z^4 + 4401540 z^5 + 18203900 z^6 + 20920900 z^7 + 7607600 z^8))) + 7607600 z^(16/3) Log[1 + z^(1/3)] - 7607600 (-1)^(1/3) z^(16/3) Log[1 - (-1)^(1/3) z^(1/3)] + 7607600 (-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