The Laguerre and Legendre polynomials from an operational point of view

G. Dattoli, H.M. Srivastava, C. Cesarano

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23 Citations (Scopus)

Abstract

The use of the monomiality principle and of the associated operational calculus allows to reformulate the theory of Laguerre and Legendre polynomials from a unified point of view. They are indeed shown to be particular cases of more general polynomials, whose usefulness in purely mathematical and applied contexts is discussed. The concepts introduced in the paper are also exploited to develop an elementary point of view on the theory of Legendre and Laguerre-Bessel functions. © 2001 Elsevier Science Inc. All rights reserved.
Original languageEnglish
Pages (from-to)117 - 127
Number of pages11
JournalApplied Mathematics and Computation
Volume124
Issue number1
DOIs
Publication statusPublished - 10 Nov 2001
Externally publishedYes

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All Science Journal Classification (ASJC) codes

  • Computational Mathematics
  • Applied Mathematics

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