Abstract
In this contribution, we consider sequences of orthogonal polynomials associated with a perturbation of some classical weights consisting of the introduction of a parameter t, and deduce some algebraic properties related to their zeros, such as their equations of motion with respect to t. These sequences are later used to explicitly construct families of polynomials that are stable for all values of t, i.e., robust stability on these families is guaranteed. Some illustrative examples are presented.
Original language | English |
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Article number | 818 |
Journal | Mathematics |
Volume | 7 |
Issue number | 9 |
DOIs | |
Publication status | Published - 1 Sept 2019 |
Externally published | Yes |
Bibliographical note
Publisher Copyright:© 2019 by the authors.
All Science Journal Classification (ASJC) codes
- Computer Science (miscellaneous)
- General Mathematics
- Engineering (miscellaneous)