Bounds for the zeros of symmetric kravchuk polynomials
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Data
2015-07-01
Autores
Area, Ivan
Dimitrov, Dimitar K. [UNESP]
Godoy, Eduardo
Paschoa, Vanessa
Título da Revista
ISSN da Revista
Título de Volume
Editor
Springer
Resumo
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.
Descrição
Palavras-chave
Orthogonal polynomials of a discrete variable, Symmetric Kravchuk polynomials, Hermite polynomials, Limit relation, Zeros
Como citar
Numerical Algorithms, v. 69, n. 3, p. 611-624, 2015.