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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=-16/3, b>=a > For fixed z and a=-16/3, b=6





http://functions.wolfram.com/07.23.03.5100.01









  


  










Input Form





Hypergeometric2F1[-(16/3), 6, 17/3, -z] == (1/(52301766015 z^(14/3))) (11 (3 z^(2/3) (-80080 + 323232 z - 1283100 z^2 + 6661200 z^3 + 1512544485 z^4 + 7644087600 z^5 + 15590254680 z^6 + 15907491600 z^7 + 8107799700 z^8 + 1650849200 z^9) - 7280 (1 + z)^5 (22 - 190 z + 1045 z^2 - 5225 z^3 + 36575 z^4 + 226765 z^5) Log[1 + z^(1/3)] + 7280 (-1)^(1/3) (1 + z)^5 (22 - 190 z + 1045 z^2 - 5225 z^3 + 36575 z^4 + 226765 z^5) Log[1 - (-1)^(1/3) z^(1/3)] - 7280 (-1)^(2/3) (1 + z)^5 (22 - 190 z + 1045 z^2 - 5225 z^3 + 36575 z^4 + 226765 z^5) 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