Certain properties and characterizations of a novel family of bivariate 2D-q Hermite polynomials

This study presents a novel family of bivariate 2D-qq Hermite polynomials. We derive explicit forms and qq-partial differential equations and investigate numerical aspects associated with these polynomials. Furthermore, we deduce the monomiality principle and other key properties of the bivariate 2D...

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Bibliographic Details

Published in:	Open Mathematics
Main Authors:	Wani Shahid Ahmad, Zayed Mohra, Nahid Tabinda
Format:	Article
Language:	English
Published:	De Gruyter 2024-11-01
Subjects:	q-special polynomials q-calculus monomiality principle explicit form numerical representation 33e20 33c45 33b10 33e30 11t23
Online Access:	https://doi.org/10.1515/math-2024-0080