Some properties of degenerate complete and partial Bell polynomials

Abstract

Abstract In this paper, we study degenerate complete and partial Bell polynomials and establish some new identities for those polynomials. In addition, we investigate the connections between modified degenerate complete and partial Bell polynomials, which are closely related to the degenerate complete and partial Bell polynomials, and the joint distribution of weighted sums of independent degenerate Poisson random variables.

Keywords

• Degenerate complete Bell polynomials
• Degenerate partial Bell polynomials
• Modified degenerate complete Bell polynomials
• Modified degenerate partial Bell polynomials
• Degenerate Poisson random variable