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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=-14/3, b>=a > For fixed z and a=-14/3, b=6





http://functions.wolfram.com/07.23.03.5487.01









  


  








Input Form





Hypergeometric2F1[-(14/3), 6, 4/3, z] == (1/15943230) (51 (256810 - 4207210 z + 17718855 z^2 - 26890864 z^3 + 13353340 z^4) + (1/z^(1/3)) (3080 (-308 + 13090 z - 104720 z^2 + 301070 z^3 - 355810 z^4 + 147407 z^5) Log[1 - z^(1/3)]) + (1/z^(1/3)) (3080 (-1)^(2/3) (-308 + 13090 z - 104720 z^2 + 301070 z^3 - 355810 z^4 + 147407 z^5) Log[1 + (-1)^(1/3) z^(1/3)]) - (1/z^(1/3)) (3080 (-1)^(1/3) (-308 + 13090 z - 104720 z^2 + 301070 z^3 - 355810 z^4 + 147407 z^5) 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