Results 11 to 20 of about 1,059,315 (385)

On orthogonal polynomials [PDF]

open access: bronzeProceedings of the American Mathematical Society, 1961
Burton Wendroff
openalex   +2 more sources

Partially-Orthogonal Polynomials [PDF]

open access: bronzeProceedings of the American Mathematical Society, 1972
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
openalex   +3 more sources

Multiple orthogonal polynomials: Pearson equations and Christoffel formulas [PDF]

open access: yesAnalysis and Mathematical Physics, 2021
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
semanticscholar   +1 more source

Orthogonal polynomials [PDF]

open access: bronzeMemoirs of the American Mathematical Society, 1979
Paul Nevai
openalex   +2 more sources

A characterization of orthogonal polynomials

open access: bronzeJournal of Mathematical Analysis and Applications, 1964
H. L. Krall, I. M. Sheffer
openalex   +3 more sources

Some New Families of Finite Orthogonal Polynomials in Two Variables

open access: yesAxioms, 2023
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
doaj   +1 more source

Generalized Quasi-Orthogonal Functional Networks Applied in Parameter Sensitivity Analysis of Complex Dynamical Systems

open access: yesElektronika ir Elektrotechnika, 2022
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
doaj   +1 more source

On Robust Stability for Hurwitz Polynomials via Recurrence Relations and Linear Combinations of Orthogonal Polynomials

open access: yesComplexity, 2022
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
doaj   +1 more source

Fourier Transform of the Orthogonal Polynomials on the Unit Ball and Continuous Hahn Polynomials

open access: yesAxioms, 2022
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
doaj   +1 more source

Breakthrough Solution for Antimicrobial Resistance Detection: Surface‐Enhanced Raman Spectroscopy‐based on Artificial Intelligence

open access: yesAdvanced Materials Interfaces, EarlyView., 2023
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

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