Abstract
The object of this paper is to establish two new formulas for calculating Laplace tranform pairs of two dimensions from known one-dimensional Laplace transforms. Two boundary-value problems are also solved by using double Laplace transforms.
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Literature cited
R. S. Dahiya, “Computation of two-dimensional Laplace transforms,” Rend. Mat., (3)8, Ser. VI, 805–813 (1975).
R. S. Dahiya, “Functional correspondences of special functions,” Ukr. Mat. Zh.,28, No. 3, 11–18 (1976).
V. A. Ditkin and A. P. Prudnikov, Operational Calculus in Two Variables and Its Applications, Pergamon Press (1962).
G. E. Roberts and H. Kaufman, Table of Laplace Transforms, W. B. Saunders (1966).
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Published in Ukrainskii Matematicheskii Zhurnal, Vol. 39, No. 3, pp. 374–377, May–June, 1987.
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Dahiya, R.S., Egwurube, M. Theorems and applications of two-dimensional Laplace transforms. Ukr Math J 39, 294–297 (1987). https://doi.org/10.1007/BF01057237
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DOI: https://doi.org/10.1007/BF01057237