Antonio J. Durán Guardeño

activity

20122025

most citedSome examples of orthogonal matrix polynomials satisfying odd order differential equations

49 citations · 49 across the 3 of their papers we have counts for

collaborators

3 papers

math.CA2025★ 49 cited

Some examples of orthogonal matrix polynomials satisfying odd order differential equations

Antonio J. Durán, Manuel D. De la Iglesia

It is well known that if a finite order linear differential operator with polynomial coefficients has as eigenfunctions a sequence of orthogonal polynomials with respect to a posit…

math.CA2024

Generalized Bell polynomials

Antonio J. Durán

In this paper, generalized Bell polynomials $(\Be_n^ϕ)_n$ associated to a sequence of real numbers $ϕ = (ϕ_{i})_{i = 1}^{\infty}$ are introduced. Bell polynomials correspond to $ϕ_{i} = 0$ , $i…

math.CA2012

Wronskian type determinants of orthogonal polynomials, Selberg type formulas and constant term identities

Antonio J. Durán

Let $(p_{n})_{n}$ be a sequence of orthogonal polynomials with respect to the measure $μ$ . Let $T$ be a linear operator acting in the linear space of polynomials $\PP$ and satisfying t…