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Theorems on association of variables in multidimensional Laplace transforms

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  • Joyati Debnath
  • Narayan Chandra Debnath

Abstract

The inverse of the multidimensional Laplace transform is often obtained by the method of association of variables. In this paper, some basic theorems are developed for evaluating the associated transform of certain types of transformed functions. Many useful associated pairs can be produced with the aid of these fundamental theorems. Several illustrative examples are included.

Suggested Citation

  • Joyati Debnath & Narayan Chandra Debnath, 1989. "Theorems on association of variables in multidimensional Laplace transforms," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 12, pages 1-14, January.
    • Handle: RePEc:hin:jijmms:891942
    DOI: 10.1155/S0161171289000426
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