Representations by ordered Bell and degenerate ordered Bell polynomials
arXiv:2110.03178
Abstract
In this paper, we consider the problem of representing any polynomial in terms of the ordered Bell and degenerate ordered Bell polynomials, and more generally of the higher-order ordered Bell and higher-order degenerate ordered Bell polynomials. We derive explicit formulas with the help of umbral calculus and illustrate our results with some examples.
20 pages. arXiv admin note: substantial text overlap with arXiv:2108.05049, arXiv:2109.13700