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arXiv · 2103.07267

Bell polynomials and generalized Laplace transforms

Paolo Emilio Ricci
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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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Paolo Emilio Ricci. 2021-03-11. Bell polynomials and generalized Laplace transforms. https://arxiv.org/abs/2103.07267

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