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 …

This paper focuses on the characteristics of the Hankel determinant generated by a modified
singularly Gaussian weight. The weight function is defined as: w (z; t)=| z| α e-1 z 2-tz 2-1 z 2 …

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 …

We study the asymptotic behavior of the smallest eigenvalue, λ N, of the Hankel (or
moments) matrix denoted by, with respect to the weight. An asymptotic expression of the …

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 …

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 …

Let µ be a given probability measure supported by a compact subset [a, b]⊂ R. Given a
function f element of L2 ([a, b], dµ), we proved, under some integrability conditions, that a …

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∈ …