Abstract
In this paper, we introduce a new class of symmetric orthogonal polynomials, which generalizes the q-Dunkl-classical polynomials and also provides new characterizations of symmetric q-semiclassical orthogonal polynomials. Both the notion of a class and a criterion for determining the class will be given. As an application, several examples of q-Dunkl-semiclassical forms of the class (Formula presented.) are highlighted.
| Original language | English |
|---|---|
| Pages (from-to) | 377-407 |
| Number of pages | 31 |
| Journal | Journal of Difference Equations and Applications |
| Volume | 30 |
| Issue number | 3 |
| DOIs | |
| State | Published - 2024 |
| Externally published | Yes |
Bibliographical note
Publisher Copyright:© 2023 Informa UK Limited, trading as Taylor & Francis Group.
Keywords
- Orthogonal polynomials
- q-Dunkl operator
- q-semiclassical polynomials
- q-series and q-polynomials
- symmetric forms
ASJC Scopus subject areas
- Analysis
- Algebra and Number Theory
- Applied Mathematics
Fingerprint
Dive into the research topics of 'Some characterizations of the symmetric q-Dunkl-semiclassical orthogonal q-polynomials'. Together they form a unique fingerprint.Cite this
- APA
- Author
- BIBTEX
- Harvard
- Standard
- RIS
- Vancouver