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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 8 and fixed z and a<0 > For fixed z and a=-21/8, b>=a > For fixed z and a=-21/8, b=5





http://functions.wolfram.com/07.23.03.bm2m.01









  


  








Input Form





Hypergeometric2F1[-(21/8), 5, -(5/8), -z] == (1/2097152) (91 ((64 (5843 + 10710 z + 4995 z^2))/(1 + z)^3 - 1013985 (-(8/13) + (8 z)/5 + (-1)^(1/8) z^(13/8) (I Log[1 - (-1)^(1/8) z^(1/8)] - I Log[1 + (-1)^(1/8) z^(1/8)] - (-1)^(3/4) Log[1 - (-1)^(3/8) z^(1/8)] + (-1)^(3/4) Log[1 + (-1)^(3/8) z^(1/8)] - Log[1 - (-1)^(5/8) z^(1/8)] + Log[1 + (-1)^(5/8) z^(1/8)] + (-1)^(1/4) Log[1 - (-1)^(7/8) z^(1/8)] - (-1)^(1/4) Log[1 + (-1)^(7/8) z^(1/8)])) + 2559105 (-(8/21) + (8 z)/13 - (8 z^2)/5 + (-1)^(1/8) z^(21/8) ((-I) Log[1 - (-1)^(1/8) z^(1/8)] + I Log[1 + (-1)^(1/8) z^(1/8)] + (-1)^(3/4) Log[1 - (-1)^(3/8) z^(1/8)] - (-1)^(3/4) Log[1 + (-1)^(3/8) z^(1/8)] + Log[1 - (-1)^(5/8) z^(1/8)] - Log[1 + (-1)^(5/8) z^(1/8)] - (-1)^(1/4) Log[1 - (-1)^(7/8) z^(1/8)] + (-1)^(1/4) Log[1 + (-1)^(7/8) z^(1/8)]))))








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