On the Watson L2-theory for index transforms II

• Type: Article in International Scientific Journal
• Date: 2010

Authors

Semyon Yakubovich (Author) FCUP

Journal

Title: Integral Transforms and Special Functions

Vol. 21

Pages: 663-673

ISSN: 1065-2469

Publisher: Taylor & Francis

Indexing

ISI Web of Knowledge - 0 Citations

Scopus - 0 Citations

Scientific classification

FOS: Natural sciences > Mathematics

Other information

Authenticus ID: P-003-B9D

DOI: 10.1080/10652460903526339

Abstract (EN): We continue to investigate index transforms which are associated with general Kontorovich-Lebedev kernels (GKL kernels). The case of the so-called extended Watson kernels is considered. An inversion theorem is proved. Examples of integral transformations by the index of Whittaker's functions and Meijer's G-functions are demonstrated. As applications, a general index integral involving a product of Meijer's G-functions is calculated.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 11