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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=4





http://functions.wolfram.com/07.23.03.5579.01









  


  








Input Form





Hypergeometric2F1[-(13/3), 4, 11/3, z] == (1/(33480783 z^(8/3))) (2 (3 z^(2/3) (-4550 - 27300 z + 5301261 z^2 - 22034012 z^3 + 34324680 z^4 - 23652720 z^5 + 6086080 z^6) + 1820 (-1 + z)^4 (-5 - 48 z - 456 z^2 + 3344 z^3) Log[1 - z^(1/3)] - 1820 (-1)^(1/3) (-1 + z)^4 (-5 - 48 z - 456 z^2 + 3344 z^3) Log[1 + (-1)^(1/3) z^(1/3)] + 1820 (-1)^(2/3) (-1 + z)^4 (-5 - 48 z - 456 z^2 + 3344 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