M. Alfaro

most citedWhen do linear combinations of orthogonal polynomials yield new sequences of orthogonal polynomials?

2 citations · 2 across the 1 of their papers we have counts for

collaborators

Showing math.CAShow all

4 papers · 1 filter

math.CA2009★ 1 cited

Orthogonal polynomials associated with an inverse quadratic spectral transform

M. Alfaro, F. Marcellan, A. Pena +1

Let ${P_{n}}_{n \geq 0}$ be a sequence of monic orthogonal polynomials with respect to a quasi--definite linear functional $u$ and ${Q_{n}}_{n \geq 0}$ a sequence of polynomials define…

math.CA2009

Asymptotics for a generalization of Hermite polynomials

M. Alfaro, J. J. Moreno-Balcazar, A. Pena +1

We consider a generalization of the classical Hermite polynomials by the addition of terms involving derivatives in the inner product. This type of generalization has been studied…

math.CA2007★ 2 cited

When do linear combinations of orthogonal polynomials yield new sequences of orthogonal polynomials?

M. Alfaro, F. Marcellan, A. Pena +1

Given ${P_{n}}$ a sequence of monic orthogonal polynomials, we analyze their linear combinations ${Q_{n}}$ with constant coefficients and fixed length $k + 1$ . Necessary and suffici…

math.CA2006

Sobolev orthogonal polynomials: balance and asymptotics

M. Alfaro, J. J. Moreno-Balcazar, A. Pena +1

Let $μ_{0}$ and $μ_{1}$ be measures supported on an unbounded interval and $S_{n, λ_{n}}$ the extremal varying Sobolev polynomial which minimizes \begin{equation*} < P, P >_{λ_n}=\int P^2…