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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/07.23.03.5578.01









  


  










Input Form





Hypergeometric2F1[-(13/3), 4, 8/3, -z] == (1/(1594323 z^(5/3))) (3 z^(2/3) (910 + 511967 z + 2984488 z^2 + 5966740 z^3 + 5014100 z^4 + 1521520 z^5) - 1820 (1 + z)^3 (-1 + 24 z + 456 z^2 + 836 z^3) Log[1 + z^(1/3)] + 1820 (-1)^(1/3) (1 + z)^3 (-1 + 24 z + 456 z^2 + 836 z^3) Log[1 - (-1)^(1/3) z^(1/3)] - 1820 (-1)^(2/3) (1 + z)^3 (-1 + 24 z + 456 z^2 + 836 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