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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=21/5, b>=a > For fixed z and a=21/5, b=5





http://functions.wolfram.com/07.23.03.b3s1.01









  


  








Input Form





Hypergeometric2F1[21/5, 5, 26/5, -z] == (1/12500) (7 (-((5 (-332 + 94 z + 84 z^2 + 33 z^3))/(1 + z)^4) + (1/z^(21/5)) (-2640 z^(1/5) + 440 z^(6/5) - 240 z^(11/5) + 165 z^(16/5) + 528 Log[1 + z^(1/5)] + 528 (-1)^(4/5) Log[1 - (-1)^(1/5) z^(1/5)] - 528 (-1)^(3/5) Log[1 + (-1)^(2/5) z^(1/5)] + 528 (-1)^(2/5) Log[1 - (-1)^(3/5) z^(1/5)] - 528 (-1)^(1/5) 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