Some Convolution Identities and an Inverse Relation Involving Partial Bell Polynomials

• DOI: 10.37236/2476
• Publication Date: 2020-01-10T22:10:25Z
• Authors: Daniel Birmajer; Juan B. Gil; Michael D. Weiner
• Keywords: Bell polynomials; Convolution (computer science); Multinomial distribution

We prove an inverse relation and a family of convolution formulas involving partial Bell polynomials. Known some presumably new combinatorial identities type are discussed. Our approach relies on interesting multinomial formula for the binomial coefficients. The is deduced from parametrization suitable that facilitate dealing with nested compositions