Artículos de revistas
Bounds for the zeros of symmetric kravchuk polynomials
Fecha
2015-07-01Registro en:
Numerical Algorithms, v. 69, n. 3, p. 611-624, 2015.
1017-1398
10.1007/s11075-014-9916-y
WOS:000356823700010
Autor
Univ Vigo
Universidade Estadual Paulista (Unesp)
Universidade Federal de São Paulo (UNIFESP)
Institución
Resumen
Sharp bounds for the zeros of symmetric Kravchuk polynomials K (n) (x;M) are obtained. The results provide a precise quantitative meaning of the fact that Kravchuk polynomials converge uniformly to Hermite polynomials, as M tends to infinity. They show also how close the corresponding zeros of two polynomials from these sequences of classical orthogonal polynomials are.