Some generating functions for q-polynomials
Howard S. Cohl, Roberto S. Costas-Santos, and Tanay V. Wakhare
TL;DR
This paper develops q-analogues of classical polynomials and derives their generating functions, expanding the mathematical toolkit for q-series and polynomial analysis.
Contribution
It introduces new q-analogues of Sylvester, Cesàro, Pasternack, and Bateman polynomials along with their generating functions.
Findings
New q-analogues of classical polynomials
Explicit generating functions derived
Enhances understanding of q-series relationships
Abstract
We obtain q-analogues of the Sylvester, Ces\`aro, Pasternack, and Bateman polynomials. We also derive generating functions for these polynomials.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.