Properties and differential equations of higher-order (q, h)-analogue of Frobenius-Tangent polynomials

Abstract

In this article, we define (q, h)-analogue of higher-order Frobenius-tangent polynomials and numbers and determine their properties. Based on these numbers and polynomials, we also confirm that the structure of the approximate root changes according to changes in q and h. We find differential equations that have (q, h)-analogue of higher-order Frobenius-tangent polynomials as solutions and also find differential equations that have other polynomials as coefficients, confirming the relationships among these.