2 papers
math.NA2026
Three-term Recurrence Relation with Arbitrary Degree Steps for Orthogonal Polynomials
Bo Yang
An approach to generate three-term recurrence relations with arbitrary degree steps is proposed for orthogonal polynomials. Specifically, given any class of orthogonal polynomials…
nlin.SI2026
Rogue-wave and lump patterns associated with the third Painlevé equation
Bo Yang, Bo yang, Jianke Yang
We report rogue-wave and lump patterns associated with Umemura polynomials, which arise in rational solutions of the third Painlevé equation. We first show that in many integrable…