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New index transforms with the product of Bessel functions

Title
New index transforms with the product of Bessel functions
Type
Article in International Scientific Journal
Year
2015
Authors
Yakubovich, S
(Author)
FCUP
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Journal
Vol. 26
Pages: 939-955
ISSN: 1065-2469
Publisher: Taylor & Francis
Scientific classification
FOS: Natural sciences > Mathematics
Other information
Authenticus ID: P-00G-MKG
Abstract (EN): New index transforms are investigated, which contain as the kernel products of the Bessel and modified Bessel functions. Mapping properties and invertibility in Lebesgue spaces are studied for these operators. Relationships with the Kontorovich-Lebedev and Fourier cosine transforms are established. Inversion theorems are proved. As an application, a solution of the initial value problem for the fourth order partial differential equation, involving the Laplacian is presented.
Language: English
Type (Professor's evaluation): Scientific
No. of pages: 17
Documents
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KJ 192.96 KB
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