Some identities on truncated polynomials associated with Lah-Bell polynomials

Abstract

Recently, Kim-Kim introduced the truncated degenerate Bell polynomials and numbers. In this paper, we introduce the truncated Lah-Bell polynomials and numbers. We obtain some identities, recurrence relations and properties. Furthermore, we also introduce the truncated modified Lah-Bell polynomials and numbers, truncated degenerate Lah-Bell polynomials and numbers and we derive some properties and identities involving with those polynomials and numbers.

Keywords

• lah numbers
• beta function
• lah-bell polynomials
• truncated lah-bell polynomials
• truncated degenerate lah-bell polynomials