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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=-13/3, b>=a > For fixed z and a=-13/3, b=5





http://functions.wolfram.com/07.23.03.5587.01









  


  










Input Form





Hypergeometric2F1[-(13/3), 5, -(10/3), z] == (1/20412) ((1/(-1 + z)^4) (3 (6804 + 17010 z + 53460 z^2 + 253935 z^3 + 4062960 z^4 - 22605440 z^5 + 39124800 z^6 - 28528500 z^7 + 7607600 z^8)) + 7607600 z^(13/3) Log[1 - z^(1/3)] - 7607600 (-1)^(1/3) z^(13/3) Log[1 + (-1)^(1/3) z^(1/3)] + 7607600 (-1)^(2/3) z^(13/3) 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