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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=22/5, b>=a > For fixed z and a=22/5, b=6





http://functions.wolfram.com/07.23.03.b3zo.01









  


  








Input Form





Hypergeometric2F1[22/5, 6, 27/5, z] == (1/156250) (11 ((5 (-2776 + 44 z + 449 z^2 - 301 z^3 + 84 z^4))/(-1 + z)^5 + 1428 (-((5 (714 + 204 z + 119 z^2 + 84 z^3))/(1428 z^4)) + (1/z^(22/5)) (-Log[1 - z^(1/5)] + (-1)^(3/5) Log[1 + (-1)^(1/5) z^(1/5)] + (-1)^(1/5) Log[1 - (-1)^(2/5) z^(1/5)] - (-1)^(4/5) Log[1 + (-1)^(3/5) z^(1/5)] - (-1)^(2/5) 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