Introducing ∆h Hermite-based Appell polynomials via the monomiality principle: properties, forms, and generating relations

The article introduces a novel class of polynomials, HQ [∆h] m (q1 , q2, q3, q4 , q5; h), termed ∆h Hermite-based Appell polynomials, utilizing the monomiality principle. These polynomials exhibit close connections with ∆h Hermite-based Bernoulli, Euler, and Genocchi polynomials, elucidating their s...