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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=5





http://functions.wolfram.com/07.23.03.5589.01









  


  








Input Form





Hypergeometric2F1[-(13/3), 5, -(7/3), z] == (1/30618) (-((1/(-1 + z)^3) (3 (10206 + 64152 z + 457083 z^2 + 9751104 z^3 - 69337840 z^4 + 145413840 z^5 - 124384260 z^6 + 38038000 z^7))) - 1521520 z^(10/3) (-13 + 25 z) Log[1 - z^(1/3)] + 1521520 (-1)^(1/3) z^(10/3) (-13 + 25 z) Log[1 + (-1)^(1/3) z^(1/3)] - 1521520 (-1)^(2/3) z^(10/3) (-13 + 25 z) 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