Name
Title | ||
|---|---|---|
Monotonicity, interlacing and electrostatic interpretation of zeros of exceptional Jacobi polynomials. |
Abstract | ||
|---|---|---|
Denote by P̂n(α,β)(x) the X1-Jacobi polynomial of degree n. These polynomials were introduced and studied recently by Gómez-Ullate, Kamran and Milson in a series of papers. In this note we establish some properties of the zeros of P̂n(α,β)(x), such as interlacing and monotonicity with respect to the parameters α and β. They turn out to possess an electrostatic interpretation. The vector, whose components are the zeros, is a saddle point of the energy of the corresponding logarithmic field. |
Year | DOI | Venue |
|---|---|---|
2014 | 10.1016/j.jat.2014.01.007 | Journal of Approximation Theory |
Keywords | Field | DocType |
X1 Jacobi polynomials,Orthogonal polynomials,Zeros,Electrostatic interpretation | Wilson polynomials,Saddle point,Polynomial,Orthogonal polynomials,Classical orthogonal polynomials,Mathematical analysis,Discrete orthogonal polynomials,Gegenbauer polynomials,Jacobi polynomials,Mathematics | Journal |
Volume | ISSN | Citations |
181 | 0021-9045 | 3 |
PageRank | References | Authors |
0.59 | 1 | 2 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Dimitar Dimitrov | 1 | 376 | 49.21 |
| Yen Chi Lun | 2 | 4 | 0.99 |