The role of binomial type sequences in determination identities for Bell polynomials

TL;DR

This paper explores identities involving Bell polynomials, deriving new relations through generating functions and derivatives of binomial type sequences, and generalizes previous results in the field.

Contribution

It introduces new identities linking Bell polynomials and binomial type sequences and extends earlier findings with generalized results.

Findings

Derived identities for Bell polynomials using generating functions

Established relations between Bell polynomials and binomial type sequences

Generalized previous results on Bell polynomial identities

Abstract

Our paper deals about identities involving Bell polynomials. Some identities on Bell polynomials derived using generating function and successive derivatives of binomial type sequences. We give some relations between Bell polynomials and binomial type sequences in first part, and, we generalize the results obtained in [4] in second part.