• Corpus ID: 119124138

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}
}
  • Oksana Bihun
  • Published 1 August 2018
  • Mathematics
  • arXiv: Mathematical Physics
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… 
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