Please use this identifier to cite or link to this item: https://hdl.handle.net/10316/44393
Title: Differential equations for families of semi-classical orthogonal polynomials within class one
Authors: Filipuk, Galina 
Rebocho, Maria das Neves 
Issue Date: 2018
Publisher: Elsevier
Project: info:eu-repo/grantAgreement/FCT/5876/147205/PT 
Serial title, monograph or event: Applied Numerical Mathematics
Volume: 124
Abstract: In this paper we study families of semi-classical orthogonal polynomials within class one. We derive general second or third order ordinary differential equations (with respect to certain parameters) for the recurrence coefficients of the three-term recurrence relation of these polynomials and show that in particular well-known cases, e.g. related to the modified Airy and Laguerre weights, these equations can be reduced to the second and the fourth Painlevé equations.
URI: https://hdl.handle.net/10316/44393
DOI: 10.1016/j.apnum.2017.10.002
10.1016/j.apnum.2017.10.002
Rights: embargoedAccess
Appears in Collections:I&D CMUC - Artigos em Revistas Internacionais

Files in This Item:
File Description SizeFormat
Difeq class s=1 14_03_17_Revision.pdf366.78 kBAdobe PDFView/Open
Show full item record

Google ScholarTM

Check

Altmetric

Altmetric


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.