A note on generalized q-difference equations for general Al-Salam–Carlitz polynomials

Abstract In this paper, we deduce the generalized q-difference equations for general Al-Salam–Carlitz polynomials and generalize Arjika’s recent results (Arjika in J. Differ. Equ. Appl. 26:987–999, 2020). In addition, we obtain transformational identities by the method of q-difference equation. More...

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Bibliographic Details
Main Authors: Jian Cao, Binbin Xu, Sama Arjika
Format: Article
Language:English
Published: SpringerOpen 2020-11-01
Series:Advances in Difference Equations
Subjects:
Online Access:https://doi.org/10.1186/s13662-020-03133-7