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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/07.23.03.5051.01









  


  










Input Form





Hypergeometric2F1[-(16/3), 4, 14/3, z] == (1/(2711943423 z^(11/3))) (11 (-3 z^(2/3) (145600 + 222040 z + 626080 z^2 - 77622377 z^3 + 313364752 z^4 - 534009320 z^5 + 468529360 z^6 - 209589380 z^7 + 38038000 z^8) - 7280 (-1 + z)^6 (40 + 285 z + 1254 z^2 + 5225 z^3) Log[1 - z^(1/3)] + 7280 (-1)^(1/3) (-1 + z)^6 (40 + 285 z + 1254 z^2 + 5225 z^3) Log[1 + (-1)^(1/3) z^(1/3)] - 7280 (-1)^(2/3) (-1 + z)^6 (40 + 285 z + 1254 z^2 + 5225 z^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