Index transforms with Weber-type kernels |
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| Authors: | S. Yakubovich |
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| Affiliation: | Department of Mathematics, Faculty of Sciences, University of Porto, Porto, Portugal |
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| 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. |
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| Keywords: | Index transforms Bessel functions of the first and second kind Fourier transform Mellin transform boundary value problem |
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