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

• Type: Article in International Scientific Journal
• Date: 2002

Authors

Yakubovich, SB (Author) FCUP

Journal

Title: Journal of Mathematical Analysis and Applications

Vol. 269

Pages: 689-701

ISSN: 0022-247X

Publisher: Elsevier

Indexing

ISI Web of Knowledge - 3 Citations

Scopus - 4 Citations

Scientific classification

FOS: Natural sciences > Mathematics

Other information

Authenticus ID: 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.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 13