d-Orthogonal polynomials and

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• 作者：Vincent X. Genest^a ; ^{genestvi@crm.umontreal.ca} ; Luc Vinet^a ; ^{luc.vinet@umontreal.ca} ; Alexei Zhedanov^b ; ^{zhedanov@kinetic.ac.donetsk.ua}
• 关键词：Generalized hypergeometric polynomials ; d-Orthogonal polynomials ; su(2) algebra ; Special functions
• 刊名：Journal of Mathematical Analysis and Applications
• 出版年：2012
• 期刊代码：76_0022247x
• 类别：mt
• 出版时间：15 June, 2012
• 卷：390
• 期：2
• 页码：472-487
• 文件大小：254 K

摘要

Two families of d-orthogonal polynomials related to are identified and studied. The algebraic setting allows for their full characterization (explicit expressions, recurrence relations, difference equations, generating functions, etc.). In the limit where contracts to the Heisenberg-Weyl algebra , the polynomials tend to the standard Meixner polynomials and d-Charlier polynomials, respectively.