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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=7/5, b>=a > For fixed z and a=7/5, b=3





http://functions.wolfram.com/07.23.03.b00z.01









  


  








Input Form





Hypergeometric2F1[7/5, 3, 27/5, -z] == (1/(15625 z^(22/5))) (748 (-1)^(1/5) (-1785 (-1)^(4/5) z^(2/5) - 1695 (-1)^(4/5) z^(7/5) - 35 (-1)^(4/5) z^(12/5) + 21 (-1)^(4/5) (-34 - 42 z - 7 z^2 + z^3) Log[1 + z^(1/5)] + 21 (-1)^(2/5) (-34 - 42 z - 7 z^2 + z^3) Log[1 - (-1)^(1/5) z^(1/5)] - 714 Log[1 + (-1)^(2/5) z^(1/5)] - 882 z Log[1 + (-1)^(2/5) z^(1/5)] - 147 z^2 Log[1 + (-1)^(2/5) z^(1/5)] + 21 z^3 Log[1 + (-1)^(2/5) z^(1/5)] + 714 (-1)^(3/5) Log[1 - (-1)^(3/5) z^(1/5)] + 882 (-1)^(3/5) z Log[1 - (-1)^(3/5) z^(1/5)] + 147 (-1)^(3/5) z^2 Log[1 - (-1)^(3/5) z^(1/5)] - 21 (-1)^(3/5) z^3 Log[1 - (-1)^(3/5) z^(1/5)] + 714 (-1)^(1/5) Log[1 + (-1)^(4/5) z^(1/5)] + 882 (-1)^(1/5) z Log[1 + (-1)^(4/5) z^(1/5)] + 147 (-1)^(1/5) z^2 Log[1 + (-1)^(4/5) z^(1/5)] - 21 (-1)^(1/5) 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