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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=-6/5, b>=a > For fixed z and a=-6/5, b=4





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









  


  










Input Form





Hypergeometric2F1[-(6/5), 4, 14/5, z] == (1/(78125 z^(9/5))) (12 (-1)^(1/5) (3 (-1)^(4/5) (4 + 33 z - 528 z^2 + 616 z^3) Log[1 - z^(1/5)] + 3 (4 + 33 z - 528 z^2 + 616 z^3) Log[1 + (-1)^(1/5) z^(1/5)] + (-1)^(1/5) (-3 (4 + 33 z - 528 z^2 + 616 z^3) Log[1 - (-1)^(2/5) z^(1/5)] + (-1)^(1/5) (3 (4 + 33 z - 528 z^2 + 616 z^3) Log[1 + (-1)^(3/5) z^(1/5)] + (-1)^(1/5) (5 (-1)^(1/5) z^(4/5) (3 - 1276 z + 1848 z^2) - 3 (4 + 33 z - 528 z^2 + 616 z^3) 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