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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=5





http://functions.wolfram.com/07.23.03.5058.01









  


  








Input Form





Hypergeometric2F1[-(16/3), 5, -(10/3), z] == (1/15309) (-((1/(-1 + z)^3) (3 (5103 + 25515 z + 120285 z^2 + 761805 z^3 + 15236100 z^4 - 103626380 z^5 + 211110900 z^6 - 176876700 z^7 + 53253200 z^8))) - 7607600 z^(13/3) (-4 + 7 z) Log[1 - z^(1/3)] + 7607600 (-1)^(1/3) z^(13/3) (-4 + 7 z) Log[1 + (-1)^(1/3) z^(1/3)] - 7607600 (-1)^(2/3) z^(13/3) (-4 + 7 z) 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