Differential Equations Arising from the Generating Function of the (r, β)-Bell Polynomials and Distribution of Zeros of Equations.

In this paper, we study differential equations arising from the generating function of the (r , β) -Bell polynomials. We give explicit identities for the (r , β) -Bell polynomials. Finally, we find the zeros of the (r , β) -Bell equations with numerical experiments. [ABSTRACT FROM AUTHOR]