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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=-17/5, b>=a > For fixed z and a=-17/5, b=5





http://functions.wolfram.com/07.23.03.as85.01









  


  










Input Form





Hypergeometric2F1[-(17/5), 5, -(12/5), z] == (1/37500) (17 ((5 (-20244 + 54797 z - 50912 z^2 + 15984 z^3))/(-1 + z)^4 - 351648 (-(5/17) - (5 z)/12 - (5 z^2)/7 - (5 z^3)/2 - z^(17/5) (Log[1 - z^(1/5)] + (-1)^(2/5) Log[1 + (-1)^(1/5) z^(1/5)] + (-1)^(4/5) Log[1 - (-1)^(2/5) z^(1/5)] - (-1)^(1/5) Log[1 + (-1)^(3/5) z^(1/5)] - (-1)^(3/5) 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