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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=-17/3, b>=a > For fixed z and a=-17/3, b=6





http://functions.wolfram.com/07.23.03.4958.01









  


  










Input Form





Hypergeometric2F1[-(17/3), 6, 10/3, -z] == (1/(645700815 z^(7/3))) (3 z^(1/3) (-52360 + 1165010 z + 158494065 z^2 + 1250114227 z^3 + 3708862171 z^4 + 5203934736 z^5 + 3495904412 z^6 + 908027120 z^7) + 52360 (1 + z)^3 (1 - 25 z + 1150 z^2 + 14950 z^3 + 43355 z^4 + 34684 z^5) Log[1 + z^(1/3)] + 52360 (-1)^(2/3) (1 + z)^3 (1 - 25 z + 1150 z^2 + 14950 z^3 + 43355 z^4 + 34684 z^5) Log[1 - (-1)^(1/3) z^(1/3)] - 52360 (-1)^(1/3) (1 + z)^3 (1 - 25 z + 1150 z^2 + 14950 z^3 + 43355 z^4 + 34684 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