@article{Kang2024, 
author = {Jung Yoog Kang and Cheon Seoung Ryoo},
title = {The forms of  (q,h)-difference equation and the roots structure of their solutions with degenerate quantum Genocchi polynomials},
year = {2024},
journal = {AIMS Mathematics},
volume = {9},
number = {11},
pages = {29645-29661},
keywords = {(q, h)-derivative, degenerate quantum Genocchi (DQG) polynomials, approximate root, (q, h)-difference equation},
url = {https://www.sciopen.com/article/10.3934/math.20241436},
doi = {10.3934/math.20241436},
abstract = {We construct a new type of Genocchi polynomials using degenerate quantum exponential functions and find various forms of  (q,h)-difference equations with these polynomials as solutions. This paper includes properties of the symmetric structures of  (q,h)-difference equations and also presents  (q,h)-difference equations with other polynomials as coefficients. By understanding the approximate roots structure of degenerate quantum Genocchi polynomials (DQG), which are common solutions to various forms of  (q,h)-difference equations, we identify the properties of the solutions.}
}