Q‐Differential Equations of Higher Order and Structural Properties of the Approximate Roots for q‐Modified Derangements’ Polynomials

Abstract

The objective of this study is to find q -differential equations of higher order related to q -modified derangements’ polynomials and confirm the structure of approximation roots. Furthermore, it states several symmetric properties of q -differential equations of higher order and the special properties of the approximation roots of q -modified derangements’ polynomials.