Name
Title | ||
|---|---|---|
Zeros of orthogonal Laurent polynomials and solutions of strong Stieltjes moment problems |
Abstract | ||
|---|---|---|
The strong Stieltjes moment problem for a bisequence {c"n}"n"="-"~^~ consists of finding positive measures @m with support in [0,~) such that @!"0^~t^nd@m(t)=c"nfor n=0,+/-1,+/-2,.... Orthogonal Laurent polynomials associated with the problem play a central role in the study of solutions. When the problem is indeterminate, the odd and even sequences of orthogonal Laurent polynomials suitably normalized converge in C@?{0} to distinct holomorphic functions. The zeros of each of these functions constitute (together with the origin) the support of two solutions @m^(^~^) and @m^(^0^). We discuss how odd and even subsequences of zeros of the orthogonal Laurent polynomials converge to the support points of @m^(^~^) and @m^(^0^). |
Year | DOI | Venue |
|---|---|---|
2010 | 10.1016/j.cam.2010.06.015 | Journal of Computational and Applied Mathematics |
Keywords | Field | DocType |
orthogonal Laurent polynomial,central role,distinct holomorphic function,strong Stieltjes moment problem,positive measure,nfor n,support point,normalized converge,Orthogonal Laurent | Holomorphic function,Polynomial,Orthogonal polynomials,Mathematical analysis,Laurent series,Stieltjes moment problem,Indeterminate,Laurent polynomial,Mathematics,Riemann–Stieltjes integral | Journal |
Volume | Issue | ISSN |
235 | 4 | 0377-0427 |
Citations | PageRank | References |
0 | 0.34 | 0 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| catherine m bonanhamada | 1 | 0 | 0.68 |
| William B. Jones | 2 | 1 | 2.56 |
| olav njastad | 3 | 6 | 1.16 |