Generalized polynomials, operational identities and their applications

G. Dattoli

Research output: Contribution to journalArticle

76 Citations (Scopus)

Abstract

It is shown that an appropriate combination of methods, relevant to generalized operational calculus and to special functions, can be a very useful tool to treat a large body of problems both in physics and mathematics. We discuss operational methods associated with multivariable Hermite, Laguerre, Legendre, and other polynomials to derive a wealth of identities useful in quantum mechanics, electromagnetism, optics, etc., or to derive new identities between special functions as, e.g., Mehler- or mixed-type generating functions. © 2000 Elsevier Science B.V.
Original languageEnglish
Pages (from-to)111 - 123
Number of pages13
JournalJournal of Computational and Applied Mathematics
Volume118
Issue number1-2
DOIs
Publication statusPublished - 1 Jun 2000
Externally publishedYes

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All Science Journal Classification (ASJC) codes

  • Computational Mathematics
  • Applied Mathematics

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