ON A POLYNOMIAL SEQUENCE ASSOCIATED WITH THE BESSEL OPERATOR

• Type: Article in International Scientific Journal
• Date: 2014

Authors

Ana F Loureiro (Author) Other; Maroni, P (Author) Other; Yakubovich, S (Author) FCUP

Journal

Title: Proceedings of the American Mathematical Society

Vol. 142

Pages: 467-482

ISSN: 0002-9939

Publisher: American Mathematical Society

Indexing

ISI Web of Knowledge - 1 Citation

Scopus - 2 Citations

Scientific classification

FOS: Natural sciences > Mathematics

Other information

Authenticus ID: 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.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 16