Open AccessA note on semi-classical orthogonal polynomials
Author(s) -
Amílcar Branquinho
Publication year - 1996
Publication title -
bulletin of the belgian mathematical society - simon stevin
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.36
H-Index - 31
eISSN - 2034-1970
pISSN - 1370-1444
DOI - 10.36045/bbms/1105540755
Subject(s) - laguerre polynomials , orthogonal polynomials , hermite polynomials , classical orthogonal polynomials , jacobi polynomials , mathematics , discrete orthogonal polynomials , wilson polynomials , pure mathematics , gegenbauer polynomials , bessel polynomials , characterization (materials science) , algebra over a field , physics , optics
We prove that one characterization for the classical orthogonal polynomials sequences (Hermite, Laguerre, Jacobi and Bessel) cannot be extended to the semi-classical ones.
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