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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=5





http://functions.wolfram.com/07.23.03.5447.01









  


  










Input Form





Hypergeometric2F1[-(14/3), 5, 13/3, z] == (1/(172186884 z^(10/3))) (3 z^(1/3) (-21560 - 128590 z - 896280 z^2 + 38187472 z^3 - 147921760 z^4 + 224565495 z^5 - 152943560 z^6 + 39139100 z^7) + 3080 (-1 + z)^4 (-7 - 68 z - 510 z^2 - 7820 z^3 + 25415 z^4) Log[1 - z^(1/3)] + 3080 (-1)^(2/3) (-1 + z)^4 (-7 - 68 z - 510 z^2 - 7820 z^3 + 25415 z^4) Log[1 + (-1)^(1/3) z^(1/3)] - 3080 (-1)^(1/3) (-1 + z)^4 (-7 - 68 z - 510 z^2 - 7820 z^3 + 25415 z^4) 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