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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/07.23.03.5072.01









  


  










Input Form





Hypergeometric2F1[-(16/3), 5, 11/3, z] == (1/(301327047 z^(8/3))) (-3 z^(2/3) (18200 + 211120 z - 96789063 z^2 + 639223760 z^3 - 1607367320 z^4 + 1949067120 z^5 - 1150649500 z^6 + 266266000 z^7) - 7280 (-1 + z)^4 (5 + 76 z + 1254 z^2 - 20900 z^3 + 36575 z^4) Log[1 - z^(1/3)] + 7280 (-1)^(1/3) (-1 + z)^4 (5 + 76 z + 1254 z^2 - 20900 z^3 + 36575 z^4) Log[1 + (-1)^(1/3) z^(1/3)] - 7280 (-1)^(2/3) (-1 + z)^4 (5 + 76 z + 1254 z^2 - 20900 z^3 + 36575 z^4) 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