Generalized Convolution for the Kontorovich-Lebedev, Fourier Transforms and Applications to Acoustic Fields

Author:

Tuan Trinh,Hong Nguyen Thanh,Van Hoang Pham

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Reference12 articles.

1. Abramowitz, M., Stegun, I.A.: Handbook of Mathematical Functions, with Formulas, Graphs and Mathematical Tables. National Bureau of Standards Applied Mathematics Series, 55, Washington, D.C (1964)

2. Bernard, J.M.L, Lyalinov, M.A.: Diffraction of scalar waves by an impedance cone of arbitrary cross-section. Wave Motion 33, 155–181 (2001)

3. Bernard, J.M.L., Lyalinov, M.A.: Electromagnetic scattering by a smooth convex impedance cone. IMA. J. Appl. Math. 69, 285–333 (2004)

4. Hong, N.T., Tuan, T., Thao, N.X.: On the Fourier cosine-Kontorovich-Lebedev generalized convolution transforms. Appl. Math. 58(4), 473–486 (2013)

5. Kontorovich, M.I., Lebedev, N.N.: On the one method of solution for some problems in diffraction theory and related problems. Jour. Exper. Theor. Phys. 8(10-11), 1192–1206 (1938)

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