Open AccessApproximating generalized laplace transforms
Author(s) -
Diego Caratelli,
Paolo Emilio Ricci
Publication year - 2022
Publication title -
journal of computational mathematics
Language(s) - English
Resource type - Journals
ISSN - 2456-8686
DOI - 10.26524/cm118
Subject(s) - laplace transform , laguerre polynomials , mathematics , post's inversion formula , exponential function , kernel (algebra) , extension (predicate logic) , matrix exponential , mathematical analysis , calculus (dental) , green's function for the three variable laplace equation , inverse laplace transform , pure mathematics , computer science , programming language , differential equation , medicine , dentistry
An extension of the Laplace transform (LT) obtained by using Bell polynomials and Laguerre-type exponentials was recently introduced. Computational techniques for evaluating the transformed functions numerically are developed. To this end, Tricomi’s method is applied in combination with the matrix pencil method for approximating the kernel of generalized Laplace transforms