New finite-type multi-indexed orthogonal polynomials obtained from state-adding Darboux transformations

DOI10.1093/ptep/ptad077arXiv2209.12353MaRDI QIDQ6080871

Satoru Odake

Publication date: 4 October 2023

Published in: Progress of Theoretical and Experimental Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2209.12353

zbMATH Keywords

Darboux transformationsmulti-indexed orthogonal polynomialsdiscrete quantum mechanics

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45) Difference equations, scaling ((q)-differences) (39A13) Applications of hypergeometric functions (33C90)

This page was built for publication: New finite-type multi-indexed orthogonal polynomials obtained from state-adding Darboux transformations