Some Identities on Truncated Polynomials Associated with Degenerate Bell Polynomials

• Published in: Russian journal of mathematical physics Vol. 28; no. 3; pp. 342 - 355
• Main Authors: Kim, T., Kim, D. S.
• Format: Journal Article
• Language: English
• Published: Moscow Pleiades Publishing 01.07.2021; Springer Nature B.V
• Subjects: 14/34; 639/766/189; 639/766/530; 639/766/747; Combinatorial analysis; Differential equations; Gamma function; Mathematical and Computational Physics; Operators (mathematics); Physics; Physics and Astronomy; Polynomials; Random variables; Theoretical

The aim of this paper is to introduce truncated degenerate Bell polynomials and numbers and to investigate some of their properties. In more detail, we obtain explicit expressions, identities involving other special polynomials, integral representations, a Dobinski-like formula and expressions of th...