Type II Multi-indexed Little $q$-Jacobi and Little $q$-Laguerre Polynomials
Mathematical Physics
2025-01-22 v2 High Energy Physics - Theory
Classical Analysis and ODEs
math.MP
Exactly Solvable and Integrable Systems
Abstract
For the isospectral Darboux transformations of the discrete quantum mechanics with real shifts, there are two methods: type I and type II constructions. Based on the type I construction, the type I multi-indexed little -Jacobi and little -Laguerre orthogonal polynomials were presented in J. Phys. {\bf A50} (2017) 165204. Based on the type II construction, we present the type II multi-indexed little -Jacobi and little -Laguerre orthogonal polynomials.
Keywords
Cite
@article{arxiv.2402.17272,
title = {Type II Multi-indexed Little $q$-Jacobi and Little $q$-Laguerre Polynomials},
author = {Satoru Odake},
journal= {arXiv preprint arXiv:2402.17272},
year = {2025}
}
Comments
25 pages. Comments and examples are added. To appear in JMP