Index transforms with the squares of Kelvin functions |
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| Authors: | S Yakubovich |
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| Institution: | Department of Mathematics, Faculty of Sciences, University of Porto, Porto, Portugal |
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| Abstract: | New index transforms, involving squares of Kelvin functions, 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 Kelvin functions modified Bessel functions Mellin transform boundary value problem |
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