Some Hermite Base Polynomials on $q$-Umbral Algebra

Rahime Dere

The aim of this paper is to investigate the $q$-Hermite type polynomials by using umbral calculus methods. Using this method, we derive new type polynomials which are related to the $q$-Bernoulli polynomials and the $q$-Hermite type polynomials. Furthermore, we also derive some new identities of those polynomials which are derived from $q$-umbral calculus.