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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=-13/3, b>=a > For fixed z and a=-13/3, b=6





http://functions.wolfram.com/07.23.03.5618.01









  


  








Input Form





Hypergeometric2F1[-(13/3), 6, 2/3, -z] == (1/531441) ((1/(1 + z)) (3 (177147 + 6754640 z + 48777560 z^2 + 127807680 z^3 + 138838700 z^4 + 53253200 z^5)) - 7280 z^(1/3) (91 + 1729 z + 8151 z^2 + 13585 z^3 + 7315 z^4) Log[1 + z^(1/3)] + 7280 (-1)^(1/3) z^(1/3) (91 + 1729 z + 8151 z^2 + 13585 z^3 + 7315 z^4) Log[1 - (-1)^(1/3) z^(1/3)] - 7280 (-1)^(2/3) z^(1/3) (91 + 1729 z + 8151 z^2 + 13585 z^3 + 7315 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