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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=-13/8, b>=a > For fixed z and a=-13/8, b=6





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









  


  










Input Form





Hypergeometric2F1[-(13/8), 6, -(5/8), -z] == (1/10485760) (13 (-((8 (1277155 + 4375892 z + 5925930 z^2 + 3647460 z^3 + 853035 z^4))/ (1 + z)^5) - 17913735 (-(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)]))))










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