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d-Orthogonal polynomials via matrix method
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DOI：10.1016/j.laa.2026.02.010.png)
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Abstract
En 中文
In this paper, we establish necessary and sufficient matrix conditions for polynomial sequences to be d-orthogonal and classical d-orthogonal. Our approach employs a matrix method developed by Verde-Star [46], which we extend to characterize d-orthogonality. Moreover, as an application of our framework, the 2-orthogonality of linear combinations of consecutive polynomials is examined, illustrating how these matrix conditions can be utilized in practice. An example constructed with the help of the Tchebychev 2-orthogonal polynomials of the second kind is also established. (c) 2026 Elsevier Inc. All rights are reserved, including those for text and data mining, AI training, and similar technologies.
Keywords:
Orthogonal polynomials
d-Orthogonal polynomials
Hessenberg matrix
Classical d-orthogonal polynomials
Journal
L
IF:
1.1
Papers:
162
Citations:
0