TY  - EJOU
AU  - Jin, Siqintuya 
AU  - Guo, Bai-Ni 
AU  - Qi, Feng 

TI  - Partial Bell Polynomials, Falling and Rising Factorials, Stirling Numbers, and Combinatorial Identities
T2  - Computer Modeling in Engineering \& Sciences

PY  - 2022
VL  - 132
IS  - 3
SN  - 1526-1506

AB  - 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.
KW  - Connection; equivalence; closed-form formula; combinatorial identity; partial Bell polynomial; falling factorial; rising factorial; binomial coefficient; Stirling number of the first kind; Stirling number of the second kind; problem

DO  - 10.32604/cmes.2022.019941