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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/07.23.03.5064.01









  


  








Input Form





Hypergeometric2F1[-(16/3), 5, -(1/3), z] == (1/177147) (3 (59049 + 4723920 z - 85491640 z^2 + 360600240 z^3 - 542041500 z^4 + 266266000 z^5) + 7280 z^(4/3) (1820 - 19760 z + 65208 z^2 - 83600 z^3 + 36575 z^4) Log[1 - z^(1/3)] - 7280 (-1)^(1/3) z^(4/3) (1820 - 19760 z + 65208 z^2 - 83600 z^3 + 36575 z^4) Log[1 + (-1)^(1/3) z^(1/3)] + 7280 (-1)^(2/3) z^(4/3) (1820 - 19760 z + 65208 z^2 - 83600 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