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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 3 and fixed z > For fixed z and a=-14/3, b>=a > For fixed z and a=-14/3, b=2





http://functions.wolfram.com/07.23.03.5312.01









  


  










Input Form





Hypergeometric2F1[-(14/3), 2, 16/3, -z] == (1/(57395628 z^(13/3))) (13 (3 z^(1/3) (30800 + 186340 z + 399410 z^2 + 172480 z^3 + 677168 z^4 + 834694 z^5 + 538769 z^6 + 183568 z^7 + 26180 z^8) + 3080 (1 + z)^8 (-10 + 17 z) Log[1 + z^(1/3)] + 3080 (-1)^(2/3) (1 + z)^8 (-10 + 17 z) Log[1 - (-1)^(1/3) z^(1/3)] - 3080 (-1)^(1/3) (1 + z)^8 (-10 + 17 z) Log[1 + (-1)^(2/3) z^(1/3)]))










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