On employing linear algebra approach to hybrid Sheffer polynomials

By employing practical and effective matrix algebra, this article aims to investigate specific properties of truncated exponential-Sheffer polynomials. This method provides a valuable tool for researching multivariable special polynomial properties. The properties and association between the Pascal functional and Wronskian matrices are used to build the recursive equations and differential equation for these polynomials, as well as for several members of the truncated exponential-Sheffer family. The corresponding results for the truncated exponential-associated Sheffer and truncated exponential-Appell families is specified, as well as some examples are given. Finally a conclusion with a truncated exponential-Sheffer polynomial identity is provided.