SOMEPROPERTIESON(q,h)-ANALOGUEOFEULER POLYNOMIALS

Abstract

In this article, we define (q, h)-analogue of Euler 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 Euler polynomials as solutions and also find differential equations that have
other polynomials as coefficients, confirming the relationships among these.