Name
Title | ||
|---|---|---|
Higher order hypergeometric Lauricella function and zero asymptotics of orthogonal polynomials |
Abstract | ||
|---|---|---|
The asymptotic contracted measure of zeros of a large class of orthogonal polynomials is explicitly given in the form of a Lauricella function. The polynomials are defined by means of a three-term recurrence relation whose coefficients may be unbounded but vary regularly and have a different behaviour for even and odd indices. Subclasses of systems of orthogonal polynomials having their contracted measure of zeros of regular, uniform, Wigner, Weyl, Karamata and hypergeometric types are explicitly identified. Some illustrative examples are given. |
Year | DOI | Venue |
|---|---|---|
2010 | 10.1016/j.cam.2009.02.088 | J. Computational Applied Mathematics |
Keywords | Field | DocType |
lauricella function,large class,orthogonal polynomial,odd index,illustrative example,hypergeometric type,three-term recurrence relation,higher order hypergeometric lauricella,different behaviour,zero asymptotics,orthogonal polynomials,recurrence relation,asymptotics,higher order | Wilson polynomials,Combinatorics,Classical orthogonal polynomials,Orthogonal polynomials,Mathematical analysis,Discrete orthogonal polynomials,Jacobi polynomials,Generalized hypergeometric function,Hahn polynomials,Lauricella's theorem,Mathematics | Journal |
Volume | Issue | ISSN |
233 | 6 | 0377-0427 |
Citations | PageRank | References |
1 | 0.39 | 0 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| P. Martínez-González | 1 | 1 | 0.39 |
| A. Zarzo | 2 | 2 | 1.48 |