Closed Formulas for Special Bell Polynomials by Stirling Numbers and Associate Stirling Numbers
Publications de l'Institut Mathématique, _N_S_108 (2020) no. 122, p. 131
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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.
Classification :
11B73 11B83
Keywords: closed formula, special value, Bell polynomial of the second kind, Stirling number of the second kind, associate Stirling number of the second kind
Keywords: closed formula, special value, Bell polynomial of the second kind, Stirling number of the second kind, associate Stirling number of the second kind
Feng Qi; Dongkyu Lim. Closed Formulas for Special Bell Polynomials by Stirling Numbers and Associate Stirling Numbers. Publications de l'Institut Mathématique, _N_S_108 (2020) no. 122, p. 131 . doi: 10.2298/PIM2022131Q
@article{10_2298_PIM2022131Q,
author = {Feng Qi and Dongkyu Lim},
title = {Closed {Formulas} for {Special} {Bell} {Polynomials} by {Stirling} {Numbers} and {Associate} {Stirling} {Numbers}},
journal = {Publications de l'Institut Math\'ematique},
pages = {131 },
year = {2020},
volume = {_N_S_108},
number = {122},
doi = {10.2298/PIM2022131Q},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.2298/PIM2022131Q/}
}
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