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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=-26/5, b>=a > For fixed z and a=-26/5, b=1





http://functions.wolfram.com/07.23.03.ap3y.01









  


  










Input Form





Hypergeometric2F1[-(26/5), 1, 24/5, -z] == (1/(1757812500 z^(19/5))) (19 (-1)^(1/5) (144144 (-1)^(4/5) (1 + z)^9 Log[1 + z^(1/5)] + 144144 (1 + z)^9 Log[1 - (-1)^(1/5) z^(1/5)] - (-1)^(1/5) (144144 (1 + z)^9 Log[1 + (-1)^(2/5) z^(1/5)] + (-1)^(1/5) (-144144 (1 + z)^9 Log[1 - (-1)^(3/5) z^(1/5)] + (-1)^(1/5) (5 (-1)^(1/5) z^(4/5) (-36036 - 308308 z - 1163448 z^2 + 15967764 z^3 + 16541655 z^4 + 11352159 z^5 + 4986072 z^6 + 1273272 z^7 + 144144 z^8) + 144144 (1 + z)^9 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