Centre for Mathematics, University of Coimbra

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Type:	Preprint
National /International:	International
Title:	On the second order holonomic equation for Sobolev-type orthogonal polynomials
Publication Date:	2019-06-03
Authors:	- Maria das Neves Rebocho
Abstract:	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.
Institution:	DMUC 19-21
Online version:	http://www.mat.uc.pt...prints/eng_2019.html
Download:	Not available