434 citations
- Hunan UniversityCN8 papers
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13 papers · 1 filter
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…
Polynomial Sequences Associated with the Moments of Hypergeometric Weights
Diego Dominici
We present some families of polynomials related to the moments of weight functions of hypergeometric type. We also consider different types of generating functions, and give severa…
Mehler-Heine type formulas for Charlier and Meixner polynomials
Diego Dominici
We derive Mehler--Heine type asymptotic formulas for Charlier and Meixner polynomials, and also for their associated families. These formulas provide good approximations for the po…
Zero distribution of polynomials satisfying a differential-difference equation
Diego Dominici, Walter Van Assche
In this paper we investigate the asymptotic distribution of the zeros of polynomials satisfying a first order differential-difference equation. We give several examples…
Real zeros of 2F1 hypergeometric polynomials
D. Dominici, S. J. Johnston, K. Jordaan
We use a method based on the division algorithm to determine all the values of the real parameters and for which the hypergeometric polynomials have $n…
Discrete semiclassical orthogonal polynomials of class one
Diego Dominici, Francisco Marcellan
We study the discrete semiclassical orthogonal polynomials of class s=1. By considering all possible solutions of the Pearson equation, we obtain five canonical families. We also c…