Name
Abstract | ||
|---|---|---|
Let c
n,k
(k=1,...,n) the n zeroes of the monic orthogonal polynomials family P
n
(x). The centroid of these zeroes: controls globally the distribution of the zeroes, and it is relatively easy to obtain information on s
n
, like bounds, inequalities, parameters dependence, ..., from the links between s
n
, the coefficients of the expansion of P
n
(x), and the coefficients β
n
, γ
n
in the basic recurrence relation satisfied by P
n
(x). After a review of basic properties of the centroid on polynomials, this work gives some results on the centroid of a large
class of orthogonal polynomials. |
Year | DOI | Venue |
|---|---|---|
2008 | 10.1007/s11075-008-9195-6 | Numerical Algorithms |
Keywords | DocType | Volume |
Orthogonal polynomials,Centroid of the zeroes,Recurrence coefficients | Journal | 49 |
Issue | ISSN | Citations |
1-4 | 1572-9265 | 0 |
PageRank | References | Authors |
0.34 | 0 | 1 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| A. RONVEAUX | 1 | 24 | 9.81 |