A CLASS OF INTEGRAL EQUATIONS AND INDEX TRANSFORMATIONS RELATED TO THE MODIFIED AND INCOMPLETE BESSEL FUNCTIONS

• Tipo: Artigo em Revista Científica Internacional
• Data: 2010

Autores

Semyon Yakubovich (Autor) FCUP

Revista

Título: Journal of Integral Equations and Applications

Vol. 22

Páginas: 141-164

ISSN: 0897-3962

Editora: Rocky Mountain Mathematics Consortium

Indexação

ISI Web of Knowledge - 0 Citações

Scopus - 0 Citações

Classificação Científica

FOS: Ciências exactas e naturais > Matemática

Outras Informações

ID Authenticus: P-003-8SN

DOI: 10.1216/jie-2010-22-1-141

Abstract (EN): We consider a parametric family of integral equations of the first kind, which can be treated as index transformations and generalize classical Kontorovich-Lebedev transformation and related operators. The kernel of these equations is associated with the modified and incomplete Bessel functions and their derivatives with respect to an index. For certain kernels general solutions are found by using Sneddon's operational proof of the inversion formula for the Kontorovich-Lebedev transformation.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 24