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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=-16/5, b>=a > For fixed z and a=-16/5, b=3





http://functions.wolfram.com/07.23.03.asj3.01









  


  








Input Form





Hypergeometric2F1[-(16/5), 3, 19/5, -z] == (1/(9765625 z^(14/5))) (21 (-1)^(1/5) (528 (-1)^(4/5) (1 + z)^4 (6 - 28 z + 91 z^2) Log[1 + z^(1/5)] + 528 (1 + z)^4 (6 - 28 z + 91 z^2) Log[1 - (-1)^(1/5) z^(1/5)] - (-1)^(1/5) (528 (1 + z)^4 (6 - 28 z + 91 z^2) Log[1 + (-1)^(2/5) z^(1/5)] + (-1)^(1/5) (-528 (1 + z)^4 (6 - 28 z + 91 z^2) Log[1 - (-1)^(3/5) z^(1/5)] + (-1)^(1/5) (5 (-1)^(1/5) z^(4/5) (-792 + 880 z + 90565 z^2 + 207120 z^3 + 169400 z^4 + 48048 z^5) + 528 (1 + z)^4 (6 - 28 z + 91 z^2) 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