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|Title:||Monotonicity, interlacing and electrostatic interpretation of zeros of exceptional Jacobi polynomials|
|Author:||Dimitrov, Dimitar K.|
Lun, Yen Chi
|Abstract:||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|
|Subject:||Jacobi, Polinômios de|
|Appears in Collections:||IMECC - Artigos e Outros Documentos|
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