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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=39/8, b>=a > For fixed z and a=39/8, b=5





http://functions.wolfram.com/07.23.03.cd8j.01









  


  








Input Form





Hypergeometric2F1[39/8, 5, 47/8, z] == (1/262144) (13 ((8 (601 + 6461 z - 6405 z^2 + 2415 z^3))/(-1 + z)^4 + 74865 (-8 (1/(7 z^4) + 1/(15 z^3) + 1/(23 z^2) + 1/(31 z)) + (1/z^(39/8)) (-Log[1 - z^(1/8)] - I Log[1 - I z^(1/8)] + I Log[1 + I z^(1/8)] + Log[1 + z^(1/8)] - (-1)^(1/4) Log[1 - (-1)^(1/4) z^(1/8)] + (-1)^(1/4) Log[1 + (-1)^(1/4) z^(1/8)] - (-1)^(3/4) Log[1 - (-1)^(3/4) z^(1/8)] + (-1)^(3/4) Log[1 + (-1)^(3/4) 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