J. Borrego-Morell

activity

20142026

most citedOn orthogonal polynomials with respect to a class of differential operators

3 citations · 6 across the 5 of their papers we have counts for

collaborators

Showing math.CAShow all

4 papers · 1 filter

math.CA2024

An asymptotic expansion of eigenpolynomials for a class of linear differential operators

Jorge A. Borrego-Morell

Consider an $M$ -th order linear differential operator, $M \geq 2$ , $L^{(M)} = k = 0 \sum M ρ_{k} (z) \frac{d ^{k}}{d z ^{k}},$ where $ρ_{M}$ is a monic complex polynomial such th…

math.CA2024

Semiclassical expansion for exactly solvable differential operators

Jorge A. Borrego-Morell, Boris Shapiro

Below we study a linear differential equation $\MM (v(z,η))=η^M{v(z,η)}$, where $η > 0$ is a large spectral parameter and $\MM=\sum_{k=1}^{M}ρ_{k}(z)\frac{d^k}{dz^k},\; M\ge 2$ is a…

math.CA2022★ 3 cited

On orthogonal polynomials with respect to a class of differential operators

Jorge A. Borrego-Morell

We consider orthogonal polynomials with respect to a linear differential operator $L^{(M)} = k = 0 \sum M ρ_{k} (z) \frac{d ^{k}}{d z ^{k}},$ where ${ρ_{k}}_{k = 0}^{M}$ are compl…

math.CA2014★ 3 cited

On a class of biorthogonal polynomials on the unit circle

J. Borrego-Morell, F. R. Rafaeli

A system of biorthogonal polynomials with respect to a complex valued measure supported on the unit circle is considered and all the terms with bounds are explicitly given for the…