| dc.contributor | Universidade Estadual Paulista (UNESP) | |
| dc.creator | Dimitrov, Dimitar K. | |
| dc.creator | Lun, Yen Chi | |
| dc.date | 2014-12-03T13:11:09Z | |
| dc.date | 2016-10-25T20:12:18Z | |
| dc.date | 2014-12-03T13:11:09Z | |
| dc.date | 2016-10-25T20:12:18Z | |
| dc.date | 2014-05-01 | |
| dc.date.accessioned | 2017-04-06T06:27:10Z | |
| dc.date.available | 2017-04-06T06:27:10Z | |
| dc.identifier | Journal Of Approximation Theory. San Diego: Academic Press Inc Elsevier Science, v. 181, p. 18-29, 2014. | |
| dc.identifier | 0021-9045 | |
| dc.identifier | http://hdl.handle.net/11449/112917 | |
| dc.identifier | http://acervodigital.unesp.br/handle/11449/112917 | |
| dc.identifier | 10.1016/j.jat.2014.01.007 | |
| dc.identifier | WOS:000335277200004 | |
| dc.identifier | http://dx.doi.org/10.1016/j.jat.2014.01.007 | |
| dc.identifier.uri | http://repositorioslatinoamericanos.uchile.cl/handle/2250/923671 | |
| dc.description | Denote by (P) over cap ((alpha,beta))(n) (x) the X-1-Jacobi polynomial of degree n. These polynomials were introduced and studied recently by Gomez-Ullate, Kamran and Milson in a series of papers. In this note we establish some properties of the zeros of (P) over cap ((alpha,beta))(n) (x), such as interlacing and monotonicity with respect to the parameters a and beta. 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. (c) 2014 Elsevier Inc. All rights reserved. | |
| dc.description | Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) | |
| dc.description | Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) | |
| dc.language | eng | |
| dc.publisher | Elsevier B.V. | |
| dc.relation | Journal of Approximation Theory | |
| dc.rights | info:eu-repo/semantics/closedAccess | |
| dc.subject | X-1 Jacobi polynomials | |
| dc.subject | Orthogonal polynomials | |
| dc.subject | Zeros | |
| dc.subject | Electrostatic interpretation | |
| dc.title | Monotonicity, interlacing and electrostatic interpretation of zeros of exceptional Jacobi polynomials | |
| dc.type | Otro | |
