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Peer-reviewedCC BY 4.0Mathematics

Tridiagonal Matrices Associated with Dual Hahn Polynomials

  • Xiaoyuan Wang1
  • Wenchang Chu2
  1. 1Department of Foundational Courses, Dalian Jiaotong University, Dalian 116028, China
  2. 2Independent Researcher, Via Dalmazio Birago 9/E, 73100 Lecce, Italy
Open at sourceDOICite

Abstract

A class of tridiagonal matrices associated with dual Hahn polynomials is examined and characterized. Their spectrum, the left and right eigenvectors as well as their scalar products will be determined. The determinants of the two matrices composed by the left and right eigenvectors are also evaluated in closed form.

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Cite

BibTeXRIS
BibTeX
@article{wang2026tridiagonal,
  title = {{Tridiagonal Matrices Associated with Dual Hahn Polynomials}},
  author = {Xiaoyuan Wang and Wenchang Chu},
  journal = {Mathematics},
  year = {2026},
  month = nov,
  doi = {10.3390/math14214059},
  url = {https://www.mdpi.com/2227-7390/14/21/4059},
  note = {CC BY 4.0},
}
RIS
TY  - JOUR
TI  - Tridiagonal Matrices Associated with Dual Hahn Polynomials
AU  - Xiaoyuan Wang
AU  - Wenchang Chu
PY  - 2026
DA  - 2026/11/05
JO  - Mathematics
DO  - 10.3390/math14214059
UR  - https://www.mdpi.com/2227-7390/14/21/4059
AB  - A class of tridiagonal matrices associated with dual Hahn polynomials is examined and characterized. Their spectrum, the left and right eigenvectors as well as their scalar products will be determined. The determinants of the two matrices composed by the left and right eigenvectors are also evaluated in closed form.
SN  - 2227-7390
ER  -