Bell polynomials and generalized Laplace transforms
General Mathematics
2021-03-15 v1
Abstract
An extension of the Laplace transform obtained by using the Laguerre-type exponentials is first shown. Furthermore, the solution of the Blissard problem by means of the Bell polynomials, gives the possibility to associate to any numerical sequence a Laplace-type transform depending on that sequence. Computational techniques for the corresponding transform of analytic functions, involving Bell polynomials, are derived.
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Cite
@article{arxiv.2103.07267,
title = {Bell polynomials and generalized Laplace transforms},
author = {Paolo Emilio Ricci},
journal= {arXiv preprint arXiv:2103.07267},
year = {2021}
}
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17 pages