@Article{cmes.2022.019941,
AUTHOR = {Siqintuya Jin, Bai-Ni Guo, Feng Qi},
TITLE = {Partial Bell Polynomials, Falling and Rising Factorials, Stirling Numbers, and Combinatorial Identities},
JOURNAL = {Computer Modeling in Engineering \& Sciences},
VOLUME = {132},
YEAR = {2022},
NUMBER = {3},
PAGES = {781--799},
URL = {http://www.techscience.com/CMES/v132n3/48682},
ISSN = {1526-1506},
ABSTRACT = {In the paper, the authors collect, discuss, and find out several connections, equivalences, closed-form formulas, and
combinatorial identities concerning partial Bell polynomials, falling factorials, rising factorials, extended binomial
coefficients, and the Stirling numbers of the first and second kinds. These results are new, interesting, important,
useful, and applicable in combinatorial number theory.},
DOI = {10.32604/cmes.2022.019941}
}