Explicit form of the Yablonskii - Vorob'ev polynomials
Exactly Solvable and Integrable Systems
2007-05-23 v1
Abstract
Special polynomials associated with rational solutions of the second Painlev\'{e} equation and other members of its hierarchy are discussed. New approach, which allows one to construct each polynomial is presented. The structure of the polynomials is established. Formulas of their coefficients are found. Correlations between the roots of every polynomial are obtained.
Keywords
Cite
@article{arxiv.nlin/0603044,
title = {Explicit form of the Yablonskii - Vorob'ev polynomials},
author = {Maria V. Demina and Nikolai A. Kudryashov},
journal= {arXiv preprint arXiv:nlin/0603044},
year = {2007}
}
Comments
21 pages