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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=-10/3, b>=a > For fixed z and a=-10/3, b=5





http://functions.wolfram.com/07.23.03.6091.01









  


  








Input Form





Hypergeometric2F1[-(10/3), 5, 5/3, -z] == (1/177147) (2 (39 (2224 + 20280 z + 45885 z^2 + 29260 z^3) - (35 (35 + 1820 z + 10920 z^2 + 19760 z^3 + 10868 z^4) Log[1 + z^(1/3)])/ z^(2/3) + (1/z^(2/3)) (35 (-1)^(1/3) (35 + 1820 z + 10920 z^2 + 19760 z^3 + 10868 z^4) Log[1 - (-1)^(1/3) z^(1/3)]) - (1/z^(2/3)) (35 (-1)^(2/3) (35 + 1820 z + 10920 z^2 + 19760 z^3 + 10868 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