In this paper, the authors derive several recursive and closed-form formulas for some specific values of partial Bell polynomials.

Abstract In the present paper we introduce some expansions, based on the falling factorials, for the Euler Gamma function and the Riemann Zeta function. In the proofs we use the Faá di Bruno formula, Bell polynomials, potential polynomials, Mittag-Leffler polynomials, derivative polynomials and special numbers (Eulerian numbers and Stirling numbers of both kinds). We investigate the rate of con...

Given an odd prime p, we give an explicit factorization over the ring of formal power series with integer coefficients for certain reducible polynomials whose constant term is of the form p with w > 1. Our formulas are given in terms of partial Bell polynomials and rely on the inversion formula of Lagrange. Résumé. Donné un nombre premier impair p, nous donnons une factorisation explicite sur l...

In this paper, we consider the higher order degenerate Changhee–Genocchi polynomials of second kind by using generating functions and Riordan matrix methods. At same time, give some properties kind. addition, establish new equalities involving kind, generalized Bell polynomials, Changhee Daehee Lah numbers Stirling numbers, etc.

The main purpose of this work is to prove characterization theorems for generalized moment functions on groups. According one the results these are exponential polynomials that can be described with aid complete (exponential) Bell polynomials. These characterizations will immediate consequences our result about higher rank.

In this article, we construct the generating functions for new families of special polynomials including two parametric kinds Bell-based Bernoulli and Euler polynomials. Some fundamental properties these are given. By using some identities, relations among trigonometric polynomials, Stirling numbers presented. Computational formulae obtained. Applying a partial derivative operator to functions,...