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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 5 and fixed z > For fixed z and a=-21/5, b>=a > For fixed z and a=-21/5, b=6





http://functions.wolfram.com/07.23.03.ar0x.01









  


  








Input Form





Hypergeometric2F1[-(21/5), 6, -(16/5), z] == (1/156250) (7 ((5 (647014 - 2415161 z + 3435349 z^2 - 2189646 z^3 + 526194 z^4))/(-1 + z)^5 - 13681044 (-(5/21) - (5 z)/16 - (5 z^2)/11 - (5 z^3)/6 - 5 z^4 - z^(21/5) (Log[1 - z^(1/5)] - (-1)^(1/5) Log[1 + (-1)^(1/5) z^(1/5)] + (-1)^(2/5) Log[1 - (-1)^(2/5) z^(1/5)] - (-1)^(3/5) Log[1 + (-1)^(3/5) z^(1/5)] + (-1)^(4/5) Log[1 - (-1)^(4/5) z^(1/5)]))))








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