Applications of q-difference equation and homogeneous q-shift operator rΦs(Dxy) in q-polynomials

In this paper, the generalized homogeneous q-shift operator is constructed. The q-difference equation is then utilized to construct numerous polynomial q-identities, such as the generating function and its extension, Rogers’ formula and its extension, and Mehler’s formula and its extension for the g...

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Bibliographic Details
Main Authors: Samaher A. Abdul-Ghani, Husam L. Saad
Format: Article
Language:English
Published: Elsevier 2023-12-01
Series:Partial Differential Equations in Applied Mathematics
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S2666818123000499