8 citations · 33 across the 11 of their papers we have counts for
10 papers
Asymptotics for some -hypergeometric polynomials
Juan F. Mañas-Mañas, Juan J. Moreno-Balcázar
We tackle the study of a type of local asymptotics, known as Mehler--Heine asymptotics, for some --hypergeometric polynomials. Some consequences about the asymptotic behavior of…
Asymptotic analysis of a family of Sobolev orthogonal polynomials related to the generalized Charlier polynomials
Diego Dominici, Juan José Moreno Balcázar
In this paper we tackle the asymptotic behavior of a family of orthogonal polynomials with respect to a nonstandard inner product involving the forward operator Δ. Concretely, we t…
Ladder operators and a second--order difference equation for general discrete Sobolev orthogonal polynomials
Galina Filipuk, Juan F. Mañas-Mañas, Juan J. Moreno-Balcázar
We consider a general discrete Sobolev inner product involving the Hahn difference operator, so this includes the well--known difference operators and and, as…
Linearization and Krein-like functionals of hypergeometric orthogonal polynomials
J. S. Dehesa, J. J. Moreno-Balcázar, I. V. Toranzo
The Krein-like -functionals of the hypergeometric orthogonal polynomials with kernel of the form , being the…
Differential operator for discrete Gegenbauer--Sobolev orthogonal polynomials: eigenvalues and asymptotics
Lance L. Littlejohn, Juan F. Mañas-Mañas, Juan J. Moreno--Balcázar +1
We consider the following discrete Sobolev inner product involving the Gegenbauer weight $$(f,g)_S:=\int_{-1}^1f(x)g(x)(1-x^2)^αdx+M\big[f^{(j)}(-1)g^{(j)}(-1)+f^{(j)}(1)g^{(j)}(1)…
Asymptotic behavior of varying discrete Jacobi--Sobolev orthogonal polynomials
Juan F. Mañas-Mañas, Francisco Marcellán, Juan J. Moreno-Balcázar
In this contribution we deal with a varying discrete Sobolev inner product involving the Jacobi weight. Our aim is to study the asymptotic properties of the corresponding orthogona…