Open AccessClosed formulas for special bell polynomials by Stirling numbers and associate Stirling numbers
Author(s) -
Feng Qi,
Dongkyu Lim
Publication year - 2020
Publication title -
publications de l'institut mathématique
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.246
H-Index - 17
eISSN - 1820-7405
pISSN - 0350-1302
DOI - 10.2298/pim2022131q
Subject(s) - bell polynomials , stirling numbers of the first kind , stirling number , stirling engine , stirling numbers of the second kind , mathematics , bernoulli number , algebra over a field , pure mathematics , physics , thermodynamics
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.