@article{Zayed2024, 
author = {Mohra Zayed and Shahid Ahmad Wani and William Ramírez and Clemente Cesarano},
title = {Advancements in  q-Hermite-Appell polynomials: a three-dimensional exploration},
year = {2024},
journal = {AIMS Mathematics},
volume = {9},
number = {10},
pages = {26799-26824},
keywords = {special polynomials, q-calculus, monomiality principle, explicit form, operational connection, determinant form, symmetric identities, summation formulae},
url = {https://www.sciopen.com/article/10.3934/math.20241303},
doi = {10.3934/math.20241303},
abstract = {In this research, we leverage various  q-calculus identities to introduce the notion of  q-Hermite-Appell polynomials involving three variables, elucidating their formalism. We delve into numerous properties and unveil novel findings regarding these  q-Hermite-Appell polynomials, encompassing their generating function, series representation, summation equations, recurrence relations,  q-differential formula, and operational principles. Our investigation sheds light on the intricate nature of these polynomials, elucidating their behavior and facilitating deeper understanding within the realm of  q-calculus.}
}