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2008•Acta Biologica Plantarum Agriensis (Eszterházy Károly University, Hungary)Open access

Laplace transform pairs of N-dimensions and second order linear partial differential equations with constant coefficients

Arman Aghili, B. Salkhordeh Moghaddam

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Abstract

In this paper, authors will present a new theorem and corollary on multi- \ndimensional Laplace transformations. They also develop some applications \nbased on this results. The two-dimensional Laplace transformation is useful \nin the solution of partial differential equations. Some illustrative examples \nrelated to Laguerre polynomials are also provided.

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What this paper is about

In this paper, authors will present a new theorem and corollary on multi- \ndimensional Laplace transformations. They also develop some applications \nbased on this results. The two-dimensional Laplace transformation is useful \nin the solution of partial differential equations. Some illustrative examples \nrelated to Laguerre polynomials are also provided.

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OpenAlex reports 17 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

In this paper, authors will present a new theorem and corollary on multi- \ndimensional Laplace transformations. They also develop some applications \nbased on this results. The two-dimensional Laplace transformation is useful \nin the solution of partial differential equations. Some illustrative examples \nrelated to Laguerre polynomials are also provided.

Key concepts: Laplace transform, Mathematics, Corollary, Constant coefficients, Mathematical analysis, Constant (computer programming), Laplace transform applied to differential equations, Laguerre polynomials

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