Bounds for the zeros of symmetric kravchuk polynomials

External sources

http://link.springer.com/article/10.1007%2Fs11075-014-9916-y

External sources

http://link.springer.com/article/10.1007%2Fs11075-014-9916-y

Date

Authors

Dimitrov, Dimitar K.

Paschoa, Vanessa

Publisher

Springer

Type

Article

Access right

Acesso restrito

External sources

http://link.springer.com/article/10.1007%2Fs11075-014-9916-y

External sources

http://link.springer.com/article/10.1007%2Fs11075-014-9916-y

Abstract

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.

Keywords

Orthogonal polynomials of a discrete variable, Symmetric Kravchuk polynomials, Hermite polynomials, Limit relation, Zeros

Language

English

Citation

Numerical Algorithms, v. 69, n. 3, p. 611-624, 2015.

URI

http://hdl.handle.net/11449/128868

Sponsors

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

Ministerio de Economia y Competitividad of Spain

European Community fund FEDER

Collections

São José do Rio Preto - IBILCE - Instituto de Biociências, Letras e Ciências Exatas

Units

Unit

Instituto de Biociências, Letras e Ciências Exatas

IBILCE

Campus: São José do Rio Preto

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http://link.springer.com/article/10.1007%2Fs11075-014-9916-y