Diego Dominici, Juan José Moreno Balcázar,
"Asymptotic analysis of a family of Sobolev orthogonal polynomials related to the generalized Charlier polynomials"
, Serie RISC Report Series, Johannes Kepler University Linz, Austria, Nummer 22-16, RISC, JKU, Hagenberg, Linz, 11-2022
Original Titel:
Asymptotic analysis of a family of Sobolev orthogonal polynomials related to the generalized Charlier polynomials
Sprache des Titels:
Englisch
Original Kurzfassung:
In this paper we tackle the asymptotic behaviour of a family of orthogonal polynomials with respect to a nonstandard inner product involving the forward operator $Delta$. Concretely, we treat the generalized Charlier weights in the framework of $Delta$--Sobolev orthogonality. We obtain an asymptotic expansion for this orthogonal polynomials where the falling factorial polynomials play an important role.
Sprache der Kurzfassung:
Englisch
Veröffentlicher:
RISC, JKU
Verlagsanschrift:
Hagenberg, Linz
Serie:
RISC Report Series, Johannes Kepler University Linz, Austria
Forschungs-