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http://acervodigital.unesp.br/handle/11449/112917
- Title:
- Monotonicity, interlacing and electrostatic interpretation of zeros of exceptional Jacobi polynomials
- Universidade Estadual Paulista (UNESP)
- Universidade Estadual de Campinas (UNICAMP)
- 0021-9045
- Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
- Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
- CNPq: 307183/2013-0
- FAPESP: 09/13832-9
- 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.
- 1-May-2014
- Journal Of Approximation Theory. San Diego: Academic Press Inc Elsevier Science, v. 181, p. 18-29, 2014.
- 18-29
- Elsevier B.V.
- X-1 Jacobi polynomials
- Orthogonal polynomials
- Zeros
- Electrostatic interpretation
- http://dx.doi.org/10.1016/j.jat.2014.01.007
- Acesso restrito
- outro
- http://repositorio.unesp.br/handle/11449/112917
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