Complementary romanovski-routh polynomials: From orthogonal polynomials on the unit circle to coulomb wave functions
Carregando...
Arquivos
Fontes externas
Fontes externas
Data
Orientador
Coorientador
Pós-graduação
Curso de graduação
Título da Revista
ISSN da Revista
Título de Volume
Editor
Tipo
Artigo
Direito de acesso
Acesso aberto
Arquivos
Fontes externas
Fontes externas
Resumo
We consider properties and applications of a sequence of polynomials Known as complementary RomanovsKi-Routh polynomials (CRR polynomials for short). These polynomials, which follow from the RomanovsKi-Routh polynomials or complexified Jacobi polynomials, are Known to be useful objects in the studies of the one-dimensional Schrödinger equation and also the wave functions of quarKs. One of the main results of this paper is to show how the CRR-polynomials are related to a special class of orthogonal polynomials on the unit circle. As another main result, we have established their connection to a class of functions which are related to a subfamily of WhittaKer functions that includes those associated with the Bessel functions and the regular Coulomb wave functions. An electrostatic interpretation for the zeros of CRR-polynomials is also considered.
Descrição
Palavras-chave
Coulomb wave functions, Para-orthogonal polynomials on the unit circle, RomanovsKi-Routh polynomials, Second order differential equations
Idioma
Inglês
Citação
Proceedings of the American Mathematical Society, v. 147, n. 6, p. 2625-2640, 2019.
