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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=1





http://functions.wolfram.com/07.23.03.4984.01









  


  










Input Form





Hypergeometric2F1[-(16/3), 1, 17/3, z] == (1/(71744535 z^(14/3))) (3 z^(2/3) (-40040 + 384384 z - 1651650 z^2 + 4176900 z^3 + 17044995 z^4 - 14855280 z^5 + 8815092 z^6 - 3414840 z^7 + 780780 z^8 - 80080 z^9) - 80080 (-1 + z)^10 Log[1 - z^(1/3)] + 80080 (-1)^(1/3) (-1 + z)^10 Log[1 + (-1)^(1/3) z^(1/3)] - 80080 (-1)^(2/3) (-1 + z)^10 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