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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=-24/5, b>=a > For fixed z and a=-24/5, b=6





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









  


  








Input Form





Hypergeometric2F1[-(24/5), 6, -(9/5), z] == (1/1953125) (266 ((125 (8591 - 16497 z + 7956 z^2))/(-1 + z)^3 - 8767512 ((-(5/252)) (18 + 28 z + 63 z^2) - z^(14/5) (Log[1 - z^(1/5)] + (-1)^(4/5) Log[1 + (-1)^(1/5) z^(1/5)] - (-1)^(3/5) Log[1 - (-1)^(2/5) z^(1/5)] + (-1)^(2/5) Log[1 + (-1)^(3/5) z^(1/5)] - (-1)^(1/5) Log[1 - (-1)^(4/5) z^(1/5)])) + 40607424 (-(5/19) - (5 z)/14 - (5 z^2)/9 - (5 z^3)/4 - z^(19/5) (Log[1 - z^(1/5)] + (-1)^(4/5) Log[1 + (-1)^(1/5) z^(1/5)] - (-1)^(3/5) Log[1 - (-1)^(2/5) z^(1/5)] + (-1)^(2/5) Log[1 + (-1)^(3/5) z^(1/5)] - (-1)^(1/5) Log[1 - (-1)^(4/5) z^(1/5)])) - 41453412 (-(5/24) - (5 z)/19 - (5 z^2)/14 - (5 z^3)/9 - (5 z^4)/4 - z^(24/5) (Log[1 - z^(1/5)] + (-1)^(4/5) Log[1 + (-1)^(1/5) z^(1/5)] - (-1)^(3/5) Log[1 - (-1)^(2/5) z^(1/5)] + (-1)^(2/5) Log[1 + (-1)^(3/5) z^(1/5)] - (-1)^(1/5) Log[1 - (-1)^(4/5) z^(1/5)]))))








Standard Form





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MathML Form







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Date Added to functions.wolfram.com (modification date)





2007-05-02