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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=14/5, b>=a > For fixed z and a=14/5, b=6





http://functions.wolfram.com/07.23.03.b2br.01









  


  










Input Form





Hypergeometric2F1[14/5, 6, 19/5, -z] == (1/156250) (7 (-((5 (-4436 - 2464 z - 451 z^2 + 121 z^3 + 44 z^4))/ (1 + z)^5) + (1/z^(14/5)) (11 (-45 z^(4/5) + 20 z^(9/5) - 36 Log[1 + z^(1/5)] + 36 (-1)^(1/5) Log[1 - (-1)^(1/5) z^(1/5)] - 36 (-1)^(2/5) Log[1 + (-1)^(2/5) z^(1/5)] + 36 (-1)^(3/5) Log[1 - (-1)^(3/5) z^(1/5)] - 36 (-1)^(4/5) 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