On Apostol-Type Hermite Degenerated Polynomials
Clemente Cesarano, William Ramírez, Stiven Díaz, Adnan Shamaoon, Waseem Ahmad Khan
Abstract
This article presents a generalization of new classes of degenerated Apostol–Bernoulli, Apostol–Euler, and Apostol–Genocchi Hermite polynomials of level m. We establish some algebraic and differential properties for generalizations of new classes of degenerated Apostol–Bernoulli polynomials. These results are shown using generating function methods for Apostol–Euler and Apostol–Genocchi Hermite polynomials of level m.
Topics & Concepts
MathematicsPure mathematicsClassical orthogonal polynomialsDiscrete orthogonal polynomialsOrthogonal polynomialsAdvanced Mathematical IdentitiesAdvanced Combinatorial MathematicsMathematical functions and polynomials