# Solvable dynamical systems and isospectral matrices defined in terms of the zeros of orthogonal or otherwise special polynomials.

@article{Bihun2018SolvableDS, title={Solvable dynamical systems and isospectral matrices defined in terms of the zeros of orthogonal or otherwise special polynomials.}, author={Oksana Bihun}, journal={arXiv: Mathematical Physics}, year={2018} }

Several recently discovered properties of multiple families of special polynomials (some orthogonal and some not) that satisfy certain differential, difference or q-difference equations are reviewed. A general method of construction of isospectral matrices defined in terms of the zeros of such polynomials is discussed. The method involves reduction of certain partial differential, differential difference and differential q-difference equations to systems of ordinary differential equations and…

## 2 Citations

### Orthogonal sequences constructed from quasi-orthogonal ultraspherical polynomials

- MathematicsNumerical Algorithms
- 2020

An algorithm for generating infinite monic orthogonal sequences generated by applying Wendroff’s Theorem to the interlacing zeros of C n − 1 λ ( x) and − 3/2 < λ < −’ 1/2, λ ≠ −1,….

### Orthogonal sequences constructed from quasi-orthogonal ultraspherical polynomials

- Materials ScienceNumerical Algorithms
- 2020

Let {xk,n−1}k=1n−1\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek}…

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