Busca avançada
Ano de início
Entree
(Referência obtida automaticamente do Web of Science, por meio da informação sobre o financiamento pela FAPESP e o número do processo correspondente, incluída na publicação pelos autores.)

Orthogonal Polynomials Associated with Complementary Chain Sequences

Texto completo
Autor(es):
Behera, Kiran Kumar ; Sri Ranga, A. ; Swaminathan, A.
Número total de Autores: 3
Tipo de documento: Artigo Científico
Fonte: Symmetry Integrability and Geometry-Methods and Applications; v. 12, 2016.
Citações Web of Science: 0
Resumo

Using the minimal parameter sequence of a given chain sequence, we introduce the concept of complementary chain sequences, which we view as perturbations of chain sequences. Using the relation between these complementary chain sequences and the corresponding Verblunsky coefficients, the para-orthogonal polynomials and the associated Szego polynomials are analyzed. Two illustrations, one involving Gaussian hypergeometric functions and the other involving Caratheodory functions are also provided. A connection between these two illustrations by means of complementary chain sequences is also observed. (AU)

Processo FAPESP: 09/13832-9 - Polinômios ortogonais, funções especiais e aplicações
Beneficiário:Dimitar Kolev Dimitrov
Linha de fomento: Auxílio à Pesquisa - Temático