Results 21 to 30 of about 13,141 (209)
Orthogonal Homogeneous Polynomials
Advances in Applied Mathematics, 1999 These are stringent results on real homogeneous polynomials in several real variables: if the polynomials form a normalized biorthogonal system (with respect to a certain inner product, which is defined using partial derivatives of one of the components), then an addition theorem holds, and conversely: the addition property is sufficient for ...
Fryant, A. +2 more
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Fourier coefficients for Laguerre–Sobolev type orthogonal polynomials [PDF]
Arab Journal of Mathematical Sciences, 2023 Purpose – In this paper, the authors take the first step in the study of constructive methods by using Sobolev polynomials. Design/methodology/approach – To do that, the authors use the connection formulas between Sobolev polynomials and classical ...
Alejandro Molano
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, 2005 In this survey, different aspects of the theory of orthogonal polynomials of one (real or complex) variable are reviewed. Orthogonal polynomials on the unit circle are not discussed.
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A General Method for Generating Discrete Orthogonal Matrices
IEEE Access, 2021 Discrete orthogonal matrices have applications in information coding and cryptography. It is often challenging to generate discrete orthogonal matrices.
Ka-Hou Chan, Wei Ke, Sio-Kei Im
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Representing by Orthogonal Polynomials for Sums of Finite Products of Fubini Polynomials
Mathematics, 2019 In the classical connection problem, it is dealt with determining the coefficients in the expansion of the product of two polynomials with regard to any given sequence of polynomials.
Dae San Kim +3 more
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RECURRENCE RELATIONS FOR SOBOLEV ORTHOGONAL POLYNOMIALS
Проблемы анализа, 2020 We consider recurrence relations for the polynomials orthonormal with respect to the Sobolev-type inner product and generated by classical orthogonal polynomials, namely: Jacobi polynomials, Legendre polynomials, Chebyshev polynomials of the first and ...
M. S. Sultanakhmedov
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Vector functions for direct analysis of annular wavefront slope data
Results in Optics, 2022 In the aberration analysis of a wavefront over a certain domain, the polynomials that are orthogonal over and represent balanced aberrations for this domain are used.
Virendra N. Mahajan, Eva Acosta
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Orthogonal polynomials for exponential weights x2α(1 – x2)2ρe–2Q(x) on [0, 1)
Open Mathematics, 2020 Let Wα,ρ = xα(1 – x2)ρe–Q(x), where α > –12$\begin{array}{} \displaystyle \frac12 \end{array}$ and Q is continuous and increasing on [0, 1), with limit ∞ at 1.
Liu Rong
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Partially-orthogonal polynomials [PDF]
Proceedings 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
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Bernstein collocation method for neutral type functional differential equation
Mathematical Biosciences and Engineering, 2021 Functional differential equations of neutral type are a class of differential equations in which the derivative of the unknown functions depends on the history of the function and its derivative as well. Due to this nature the explicit solutions of these
Ishtiaq Ali
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