We discuss the recurrence coefficients of the three-term recurrence relation for the
orthogonal polynomials with a singularly perturbed Gaussian weight w (z)=| z| α⁡ exp− z 2 …

An asymptotic expression of the orthonormal polynomials PN (z) as N→∞, associated with
the singularly perturbed Laguerre weight w α (x; t)= x α e− x− tx, x∈[0,∞), α>− 1, t≥ 0⁠, is …

An asymptotic expression for the polynomials $\mathcal {P} _n (z) $, $ z\notin (-\infty,\infty) $,
orthonormal with respect to a singularly perturbed Gaussian weight, $\exp (-z^ 2-t/z^ 2),~ z\in …

We propose a novel parallel numerical algorithm for calculating the smallest eigenvalues of
highly ill-conditioned Hankel matrices. It is based on the LDLT decomposition and involves …

In this paper, we study the large N behavior of the smallest eigenvalue λ N of the (N+ 1)×(N+
1) Hankel matrix, HN=(μ j+ k) 0≤ j, k≤ N, generated by the γ dependent Jacobi weight w (z …

We investigate the large N behavior of the smallest eigenvalue, λ N, of an (N+ 1)×(N+ 1)
Hankel (or moments) matrix HN, generated by the weight w (x)= x α (1− x) β, x∈[0, 1], α>− 1 …

In this paper, we study the asymptotic behavior of the smallest eigenvalue $\lambda _N $, of
the $(N+ 1)\times (N+ 1) $ Hankel matrix $\mathcal {M} _N=(\mu _ {j+ k}) _ {0\le j, k\le N} …

The smallest eigenvalue of large Hankel matrices associated with a semiclassical Laguerre
weight Page 1 M athematical I nequalities & A pplications Volume 27, Number 1 (2024), 53–62 …

In this paper, we focus on the properties of the recurrence coefficients βn (t; α) of orthogonal
polynomials with respect to a deformed octic Freud weight w (x; t, α)=| x| αe− x8+ tx2, x, t∈ …