J. Sánchez-Lara

activity

20032022

most citedExtensions of discrete classical orthogonal polynomials beyond the orthogonality

21 citations · 33 across the 4 of their papers we have counts for

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3 papers · 1 filter

math.CA2022★ 6 cited

Electrostatic partners and zeros of orthogonal and multiple orthogonal polynomials

Andrei Martínez-Finkelshtein, Ramón Orive, Joaquín Sánchez-Lara

For a given polynomial $P$ with simple zeros, and a given semiclassical weight $w$ , we present a construction that yields a linear second-order differential equation (ODE), and in…

math.CA2007★ 21 cited

Extensions of discrete classical orthogonal polynomials beyond the orthogonality

R. S. Costas-Santos, J. F. Sánchez-Lara

It is well known that the family of Hahn polynomials ${h_{n}^{α, β} (x; N)}_{n \geq 0}$ is orthogonal with respect to a certain weight function up to $N$ . In this paper we present a fac…

math.CA2005

Shannon entropy of symmetric Pollaczek polynomials

A. Martinez-Finkelshtein, J. F. Sanchez-Lara

We discuss the asymptotic behavior (as $n \to \infty$ ) of the entropic integrals $E_{n} = - \int_{- 1}^{1} lo g (p_{n}^{2} (x)) p_{n}^{2} (x) w (x) d x,$ and $$ F_n = -\int_{-1}^1 \log…