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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=-8/3, b>=a > For fixed z and a=-8/3, b=5





http://functions.wolfram.com/07.23.03.6404.01









  


  








Input Form





Hypergeometric2F1[-(8/3), 5, 7/3, z] == (1/(177147 z^(4/3))) (3 z^(1/3) (-400 + 41349 z - 157080 z^2 + 130900 z^3) + 40 (-10 - 440 z + 4620 z^2 - 10472 z^3 + 6545 z^4) Log[1 - z^(1/3)] + 40 (-1)^(2/3) (-10 - 440 z + 4620 z^2 - 10472 z^3 + 6545 z^4) Log[1 + (-1)^(1/3) z^(1/3)] - 40 (-1)^(1/3) (-10 - 440 z + 4620 z^2 - 10472 z^3 + 6545 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