On an inversion formula
Copyright policy )On an inversion formula
In this paper the author considers the problem of finding a formula of inversion for the integral transform defined by the equationwhere a >0, k > 0 and r-1f(r) εL (a, ∞). This transform appeared in connection with an earlier investigation [4] in which an attempt was made to devise an integral transform that could be adapted to the solution of certain boundary value problems involving the space form of the wave equation and the condition of radiation:
- Western University Canada
complex boundary condition, inversion formula, Transform methods (e.g., integral transforms) applied to PDEs, Wave equation, wave propagation problems, Special integral transforms (Legendre, Hilbert, etc.), Bessel and Airy functions, cylinder functions, \({}_0F_1\), Kontorovich-Lebedev of integral transform, Hankel function
complex boundary condition, inversion formula, Transform methods (e.g., integral transforms) applied to PDEs, Wave equation, wave propagation problems, Special integral transforms (Legendre, Hilbert, etc.), Bessel and Airy functions, cylinder functions, \({}_0F_1\), Kontorovich-Lebedev of integral transform, Hankel function
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