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

Title
A CLASS OF INTEGRAL EQUATIONS AND INDEX TRANSFORMATIONS RELATED TO THE MODIFIED AND INCOMPLETE BESSEL FUNCTIONS
Type
Article in International Scientific Journal
Year
2010
Authors
Semyon Yakubovich
(Author)
FCUP
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Journal
Vol. 22
Pages: 141-164
ISSN: 0897-3962
Indexing
Publicação em ISI Web of Knowledge ISI Web of Knowledge - 0 Citations
Publicação em Scopus Scopus - 0 Citations
Scientific classification
FOS: Natural sciences > Mathematics
Other information
Authenticus ID: P-003-8SN
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.
Language: English
Type (Professor's evaluation): Scientific
No. of pages: 24
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