Multidimensional Bell polynomials of higher order
The aim of the paper is to introduce a new generalization of Bell polynomials, called multidimensional Bell polynomials of higher order. Similarly to the classical Bell polynomials, which are a tool for representing the derivatives of a composite function of one variable, these new polynomials can be used for representing the derivatives of a composite function of several variables. For these polynomials the authors show that they are expressible in terms of the ordinary Bell polynomials and prove a recurrence relation.
scientific article; zbMATH DE number 5003156
scientific article