Differential equations associated with generalized Bell polynomials and their zeros

Abstract

In this paper, we study differential equations arising from the generating functions of the generalized Bell polynomials.We give explicit identities for the generalized Bell polynomials. Finally, we investigate the zeros of the generalized Bell polynomials by using numerical simulations.

Keywords

• differential equations
• bell polynomials
• generalized bell polynomials
• zeros
• 05a19
• 11b83
• 34a30
• 65l99