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The eigenstructure of Beta operators with Jacobi weights Cover

The eigenstructure of Beta operators with Jacobi weights

Open Access
|Jan 2025

Abstract

This paper investigates the eigenstructure of Beta-type operators belonging to a general family parameterized by α > −1 and β > −1. Explicit expressions for the eigenvalues are derived, and a recurrence relation for the coefficients of the corresponding eigenpolynomials is provided.

DOI: https://doi.org/10.2478/gm-2024-0007 | Journal eISSN: 1584-3289 | Journal ISSN: 1221-5023
Language: English
Page range: 87 - 93
Submitted on: Sep 2, 2023
Accepted on: Nov 21, 2023
Published on: Jan 27, 2025
Published by: Lucian Blaga University of Sibiu
In partnership with: Paradigm Publishing Services
Publication frequency: 2 issues per year

© 2025 Sergiu-Vlad Paşca, published by Lucian Blaga University of Sibiu
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.