Index transforms with the squares of Kelvin functions
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🧮 math.CA
keywords
transformsfunctionsindexkelvinsquaresappliedboundarydifferential
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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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