Publicação: Stieltjes functions and discrete classical orthogonal polynomials
Carregando...
Data
Orientador
Coorientador
Pós-graduação
Curso de graduação
Título da Revista
ISSN da Revista
Título de Volume
Editor
Springer
Tipo
Artigo
Direito de acesso
Acesso restrito
Resumo
Classical orthogonal polynomials can be characterized in terms of the corresponding Stieltjes function. We consider the construction of a Stieltjes function in terms of the falling factorials for discrete classical orthogonal polynomials (Charlier, Krawtchouk, Meixner, and Hahn). This Stieltjes function associated with classical orthogonal polynomials of a discrete variable is solution of a non-homogeneous difference equation. That property characterizes the discrete classical measures. In addition, an hypergeometric expression for the Stieltjes function is obtained in all the discrete classical cases.
Descrição
Palavras-chave
Difference equations, Stieltjes functions, Classical orthogonal polynomials of a discrete variable
Idioma
Inglês
Como citar
Computational & Applied Mathematics. Heidelberg: Springer Heidelberg, v. 32, n. 3, p. 537-547, 2013.
