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Authors
Advisor(s)
Abstract(s)
It is presented a general approach to the study of orthogonal polynomials related to Sobolev inner products which are defined in terms of divided-difference operators having the fundamental property of leaving a polynomial of degree $n-1$ when applied to a polynomial of degree
$n$. This paper gives analytic properties for the orthogonal polynomials, including the second order holonomic difference equation satisfied by them.
Description
Keywords
Sobolev-type orthogonal polynomials Special non-uniform lattices Semiclassical class Holonomic difference equation
Pedagogical Context
Citation
Rebocho, M.N. (2022). On the second-order holonomic equation for Sobolev-type orthogonal polynomials. Applicable Analysis 101, no. 1, 314 - 336.