On coefficients of Yablonskii-Vorob'ev polynomial
Masanobu Kaneko, Hiroyuki Ochiai
TL;DR
This paper provides a formula for the coefficients of the Yablonskii-Vorob'ev polynomial and investigates its properties when reduced modulo a prime number.
Contribution
It introduces a new explicit formula for the polynomial's coefficients and explores their behavior under modular reduction, advancing understanding of these special polynomials.
Findings
Derived a formula for polynomial coefficients
Analyzed polynomial reduction modulo primes
Enhanced understanding of polynomial properties
Abstract
We give a formula for the coefficients of the Yablonskii-Vorob'ev polynomial. Also the reduction modulo a prime number of the polynomial is studied.
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Taxonomy
TopicsNonlinear Waves and Solitons · Advanced Differential Equations and Dynamical Systems · Quantum chaos and dynamical systems