The recurrence relations for classical orthogonal polynomials are derived in a new way by using two fruitful tools. One tool is a specially chosen commutator algebra for certain simple operators. The other tool is a confluence process. No other formula except a differential equation for polynomials is used. Jacobi polynomials and Laguerre polynomials are taken as examples.

Original languageEnglish
Pages (from-to)251-254
Number of pages4
JournalJournal of Computational and Applied Mathematics
Volume49
Issue number1-3
DOIs
StatePublished - 31 Dec 1993

    Research areas

  • operator algebra, Orthogonal polynomials, recurrence relations

    Scopus subject areas

  • Applied Mathematics
  • Computational Mathematics
  • Numerical Analysis

ID: 41278997