ON A POLYNOMIAL SEQUENCE ASSOCIATED WITH THE BESSEL OPERATOR

• Tipo: Artigo em Revista Científica Internacional
• Data: 2014

Autores

Ana F Loureiro (Autor) Outra; Maroni, P (Autor) Outra; Yakubovich, S (Autor) FCUP

Revista

Título: Proceedings of the American Mathematical Society

Vol. 142

Páginas: 467-482

ISSN: 0002-9939

Editora: American Mathematical Society

Indexação

ISI Web of Knowledge - 1 Citação

Scopus - 2 Citações

Classificação Científica

FOS: Ciências exactas e naturais > Matemática

Outras Informações

ID Authenticus: P-006-HVP

Abstract (EN): By means of the Bessel operator a polynomial sequence is constructed to which several properties are given. Among them are its explicit expression, the connection with the Euler numbers, and its integral representation via the Kontorovich-Lebedev transform. Despite its non-orthogonality (with respect to an L-2-inner product), it is possible to associate to the canonical element of its dual sequence a positive-definite measure as long as certain stronger constraints are imposed.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 16