160 citations
- Courant Institute of Mathematical SciencesUS3 papers
- Universidade de São PauloBR3 papers
- Columbia UniversityUS2 papers
- New York UniversityUS2 papers
- Sapienza University of RomeIT2 papers
- Technische Universität BerlinDE1 paper
- University of California San DiegoUS1 paper
- University of Cape TownZA1 paper
- University of Illinois ChicagoUS1 paper
- University of IowaUS1 paper
- University of PretoriaZA1 paper
Showing 2005 · math.CAShow all
3 papers · 2 filters
math.CA2005
Some remarks on a paper by L. Carlitz
Diego Dominici
We study a family of orthogonal polynomials which generalizes a sequence of polynomials considered by L. Carlitz. We show that they are a special case of the Sheffer polynomials an…
math.CA2005★ 1 cited
Asymptotic analysis of the Askey-scheme I: from Krawtchouk to Charlier
Diego Dominici
We analyze the Charlier polynomials C(n,x)and their zeros asymptotically for large n. We obtain asymptotic approximations, using the limit relation between the Krawtchouk and Charl…
math.CA2005
Asymptotic analysis of the Krawtchouk polynomials by the WKB method
Diego Dominici
We analyze the Krawtchouk polynomials K(n,x,N,p,q) asymptotically. We use singular perturbation methods to analyze them for N large with appropriate scalings of the two variables x…