2020•Publications de l Institut MathematiqueOpen access
Closed formulas for special bell polynomials by Stirling numbers and associate Stirling numbers
Feng Xiao Qi, Dongkyu Lim
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Abstract
We derive two explicit formulas for two sequences of special values of the Bell polynomials of the second kind in terms of associate Stirling numbers of the second kind, give an explicit formula for associate Stirling numbers of the second kind in terms of the Stirling numbers of the second kind, and, consequently, present two explicit formulas for two sequences of special values of the Bell polynomials of the second kind in terms of the Stirling numbers of the second kind.
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