DIFFERENTIAL EQUATIONS ASSOCIATED WITH DEGENERATE BELL POLYNOMIALS

Abstract: The degenerate Bell numbers and polynomials, recently introduced by Kim and Kim, turned out to be very useful for studying special numbers and polynomials and mathematical physics. In this paper, we derive a family of linear differential equations satisfied by the generating function of the degenerate Bell polynomials and give some explicit and interesting identities for those polynomials arising from the linear differential equations.