Generalized Humbert polynomials and second-order partial differential operators
type: Item
instance of: scholarly article
title: Generalized Humbert polynomials and second-order partial differential operators
zbMATH Open document ID: 1182.33020
author: Abdlilah Bouali
published in: Bulletin des Sciences Mathématiques
publication date: 2009-12-01T00:00:00Z
review text: During the recent years H. Airault and A. Bouali considered a generalization of Humbert polynomials \(K_{n}^{p}(b_{1},b_{2},\dots,b_{n})\), where \(p\) is an integer and gave various expression for them and also basic properties of these polynomials. This paper deals with the polynomials \(K_{n}^{p}(b_{1},b_{2},\dots,b_{n})\) where the parameter \(p\) is any complex number. The author exposes differential equations having these polynomials as solutions.
reviewed by: Chrysoula G. Kokologiannaki
Mathematics Subject Classification ID: 33C55
Mathematics Subject Classification ID: 17B66
Mathematics Subject Classification ID: 35A30
Mathematics Subject Classification ID: 30F45
zbMATH DE Number: 5641309
zbMATH Keywords: Humbert polynomials
zbMATH Keywords: Faber polynomials
zbMATH Keywords: Calogero-Sutherland model
MaRDI profile type: Publication
full work available at URL: j.bulsci.2009.03.002
OpenAlex ID: W2077233797
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DOI: 10.1016/J.BULSCI.2009.03.002
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description: scientific article; zbMATH DE number 5641309