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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=-47/8, b>=a > For fixed z and a=-47/8, b=6





http://functions.wolfram.com/07.23.03.b5tl.01









  


  








Input Form





Hypergeometric2F1[-(47/8), 6, -(39/8), -z] == (1/10485760) (47 (-((8 (11964035 + 45570020 z + 65682970 z^2 + 42291860 z^3 + 10247643 z^4))/(1 + z)^5) - 563620365 (-(8/47) + (8 z)/39 - (8 z^2)/31 + (8 z^3)/23 - (8 z^4)/15 + (8 z^5)/7 + (-1)^(1/8) z^(47/8) ((-1)^(3/4) Log[1 - (-1)^(1/8) z^(1/8)] - (-1)^(3/4) Log[1 + (-1)^(1/8) z^(1/8)] + I Log[1 - (-1)^(3/8) z^(1/8)] - I Log[1 + (-1)^(3/8) z^(1/8)] + (-1)^(1/4) Log[1 - (-1)^(5/8) z^(1/8)] - (-1)^(1/4) Log[1 + (-1)^(5/8) z^(1/8)] + Log[1 - (-1)^(7/8) z^(1/8)] - 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