On the index integral transformation with Nicholson's function as the kernel

• Tipo: Artigo em Revista Científica Internacional
• Data: 2002

Autores

Yakubovich, SB (Autor) FCUP

Revista

Título: Journal of Mathematical Analysis and Applications

Vol. 269

Páginas: 689-701

ISSN: 0022-247X

Editora: Elsevier

Indexação

ISI Web of Knowledge - 3 Citações

Scopus - 4 Citações

Classificação Científica

FOS: Ciências exactas e naturais > Matemática

Outras Informações

ID Authenticus: P-000-PBY

DOI: 10.1016/s0022-247x(02)00043-4

Abstract (EN): The integral transformation, which is associated with the Nicholson function as the kernel, is introduced and investigated in the paper. This transformation is an integral, where integration is with respect to an index of the sum of squares of Bessel functions of the first and second kind. Composition representations and relationships with the Meijer K-transform, the Kontorovich-Lebedev transform, the Mellin transform, and the sine Fourier transform are given. We also present boundedness properties, a Parseval type equality, and an inversion formula.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 13