Tricomi’s method for the laplace transform and orthogonal polynomials

Paolo Emilio Ricci; Diego Caratelli; Francesco Mainardi

doi:10.3390/sym13040589

Tricomi’s method for the laplace transform and orthogonal polynomials

Paolo Emilio Ricci (Corresponding author), Diego Caratelli, Francesco Mainardi

Research output: Contribution to journal › Article › Academic › peer-review

3 Citations (Scopus)

Abstract

Tricomi’s method for computing a set of inverse Laplace transforms in terms of Laguerre polynomials is revisited. By using the more recent results about the inversion and the connection coefficients for the series of orthogonal polynomials, we find the possibility to extend the Tricomi method to more general series expansions. Some examples showing the effectiveness of the considered procedure are shown.

Original language	English
Article number	589
Number of pages	18
Journal	Symmetry
Volume	13
Issue number	4
DOIs	https://doi.org/10.3390/sym13040589
Publication status	Published - Apr 2021

Bibliographical note

Publisher Copyright:
© 2021 by the authors. Licensee MDPI, Basel, Switzerland.

Copyright:
Copyright 2021 Elsevier B.V., All rights reserved.

Keywords

Connection coefficients
Laguerre polynomials
Laplace transform
Resolvent

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10.3390/sym13040589

Cite this

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title = "Tricomi{\textquoteright}s method for the laplace transform and orthogonal polynomials",

abstract = "Tricomi{\textquoteright}s method for computing a set of inverse Laplace transforms in terms of Laguerre polynomials is revisited. By using the more recent results about the inversion and the connection coefficients for the series of orthogonal polynomials, we find the possibility to extend the Tricomi method to more general series expansions. Some examples showing the effectiveness of the considered procedure are shown.",

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AU - Ricci, Paolo Emilio

AU - Caratelli, Diego

AU - Mainardi, Francesco

PY - 2021/4

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N2 - Tricomi’s method for computing a set of inverse Laplace transforms in terms of Laguerre polynomials is revisited. By using the more recent results about the inversion and the connection coefficients for the series of orthogonal polynomials, we find the possibility to extend the Tricomi method to more general series expansions. Some examples showing the effectiveness of the considered procedure are shown.

AB - Tricomi’s method for computing a set of inverse Laplace transforms in terms of Laguerre polynomials is revisited. By using the more recent results about the inversion and the connection coefficients for the series of orthogonal polynomials, we find the possibility to extend the Tricomi method to more general series expansions. Some examples showing the effectiveness of the considered procedure are shown.

KW - Connection coefficients

KW - Laguerre polynomials

KW - Laplace transform

KW - Resolvent

UR - https://www.scopus.com/pages/publications/85104183808

U2 - 10.3390/sym13040589

DO - 10.3390/sym13040589

M3 - Article

AN - SCOPUS:85104183808

SN - 2073-8994

VL - 13

JO - Symmetry

JF - Symmetry

IS - 4

M1 - 589

ER -

Tricomi’s method for the laplace transform and orthogonal polynomials

Abstract

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Keywords

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