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Index transforms with Weber-type kernels.

Authors :
Yakubovich, S.
Source :
Integral Transforms & Special Functions. Mar2018, Vol. 29 Issue 3, p171-188. 18p.
Publication Year :
2018

Abstract

New index transforms with Weber-type kernels, consisting of products of Bessel functions of the first and second kind, are investigated. Mapping properties and inversion formulas are established for these transforms in Lebesgue spaces. The results are applied to solve a boundary value problem on the wedge for a fourth-order partial differential equation. [ABSTRACT FROM PUBLISHER]

Subjects

Subjects :
*MATHEMATICAL transformations
*KERNEL functions
*MATHEMATICAL formulas
*NUMERICAL solutions to boundary value problems
*PARTIAL differential equations

Details

Language :
English
ISSN :
10652469
Volume :
29
Issue :
3
Database :
Academic Search Index
Journal :
Integral Transforms & Special Functions
Publication Type :
Academic Journal
Accession number :
127588829
Full Text :
https://doi.org/10.1080/10652469.2017.1419222
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