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Constrained Orthogonal Polynomials [PDF]

open access: yesJournal of Physics A: Mathematical and General, 2005
We define sets of orthogonal polynomials satisfying the additional constraint of a vanishing average. These are of interest, for example, for the study of the Hohenberg-Kohn functional for electronic or nucleonic densities and for the study of density ...
B G Giraud   +3 more
core   +6 more sources

The Condition of Orthogonal Polynomials [PDF]

open access: bronzeMathematics of Computation, 1972
An estimate is given for the condition number of the coordinate map associating to each polynomial its coefficients with respect to a system of orthogonal polynomials.
Walter Gautschi
openalex   +4 more sources

On Orthogonal Polynomials [PDF]

open access: bronzeTransactions of the American Mathematical Society, 1931
J. Geronimus
openalex   +4 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

On orthogonal polynomials [PDF]

open access: bronzeProceedings of the American Mathematical Society, 1961
Burton Wendroff
openalex   +3 more sources

A characterization of orthogonal polynomials

open access: bronzeJournal of Mathematical Analysis and Applications, 1964
H. L. Krall, I. M. Sheffer
openalex   +4 more sources

Determinants of orthogonal polynomials [PDF]

open access: goldBulletin of the American Mathematical Society, 1962
Samuel Karlin, James McGregor
openalex   +4 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

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

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

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