Exploring variable-sensitive q-difference equations for q-SINE Euler polynomials and q-COSINE-Euler polynomials

In this study, we introduced several types of higher-order difference equations involving $ q $-SINE Euler (QSE) and $ q $-COSINE Euler (QCE) polynomials. Depending on the parameters selected, these higher-order difference equations exhibited properties of trigonometric functions or related Euler nu...

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Bibliographic Details

Published in:	AIMS Mathematics
Main Authors:	Jung Yoog Kang, Cheon Seoung Ryoo
Format:	Article
Language:	English
Published:	AIMS Press 2024-05-01
Subjects:	$ q $-derivative $ q $-sine euler (qse) polynomials $ q $-cosine euler (qce) polynomials $ q $-difference equation approximate root
Online Access:	https://www.aimspress.com/article/doi/10.3934/math.2024812?viewType=HTML