Results 11 to 20 of about 1,059,315 (385)
On orthogonal polynomials [PDF]
Burton Wendroff
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Partially-Orthogonal Polynomials [PDF]
This paper contains a discussion of partiallyorthogonal polynomials. This is an extension of the concept of quasi-orthogonal polynomials. Some relationships between various partially-orthogonal polynomials are obtained. The concept of pseudo-polynomials is defined and used as an example of partially-orthogonal polynomials. Polynomials obtained from the
Paul P. Rowe
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Multiple orthogonal polynomials: Pearson equations and Christoffel formulas [PDF]
Multiple orthogonal polynomials with respect to two weights on the step-line are considered. A connection between different dual spectral matrices, one banded (recursion matrix) and one Hessenberg, respectively, and the Gauss–Borel factorization of the ...
A. Branquinho+2 more
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A characterization of orthogonal polynomials
H. L. Krall, I. M. Sheffer
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Some New Families of Finite Orthogonal Polynomials in Two Variables
In this paper, we generalize the study of finite sequences of orthogonal polynomials from one to two variables. In doing so, twenty three new classes of bivariate finite orthogonal polynomials are presented, obtained from the product of a finite and an ...
Esra Güldoğan Lekesiz, Iván Area
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This paper presents one possible application of generalized quasi-orthogonal functional networks in the sensitivity analysis of complex dynamical systems.
Sasa S. Nikolic+6 more
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In this contribution, we use the connection between stable polynomials and orthogonal polynomials on the real line to construct sequences of Hurwitz polynomials that are robustly stable in terms of several uncertain parameters.
Alejandro Arceo+4 more
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Fourier Transform of the Orthogonal Polynomials on the Unit Ball and Continuous Hahn Polynomials
Some systems of univariate orthogonal polynomials can be mapped into other families by the Fourier transform. The most-studied example is related to the Hermite functions, which are eigenfunctions of the Fourier transform.
Esra Güldoğan Lekesiz+2 more
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This review discusses the use of Surface‐Enhanced Raman Spectroscopy (SERS) combined with Artificial Intelligence (AI) for detecting antimicrobial resistance (AMR). Various SERS studies used with AI techniques, including machine learning and deep learning, are analyzed for their advantages and limitations.
Zakarya Al‐Shaebi+4 more
wiley +1 more source