Results 31 to 40 of about 15,466 (317)
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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On polar Legendre polynomials [PDF]
, 2010 10 pages, no figures.-- MSC2000 codes: Primary 42C05; Secondary 33C25.-- ArXiv pre-print available at: http://arxiv.org/abs/0709.4537Accepted in Rocky Mountain Journal of Mathematics.We introduce a new class of polynomials {Pn}, that we call polar ...
Urbina, Wilfredo +6 more
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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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Constrained orthogonal polynomials [PDF]
Journal of Physics A: Mathematical and General, 2005 11 pages, 10 ...
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Determining radii of meromorphy via orthogonal polynomials on the unit circle [PDF]
, 2003 19 pages, no figures.-- MSC2000 codes: 30E10, 42C05, 41A20, 30D30.MR#: MR2016676 (2004k:30087)Zbl#: Zbl 1051.30033Using a convergence theorem for Fourier–Padé approximants constructed from orthogonal polynomials on the unit circle, we prove an analogue ...
López Lagomasino, Guillermo +2 more
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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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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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Contractions of 2D 2nd Order Quantum Superintegrable Systems and the Askey Scheme for Hypergeometric Orthogonal Polynomials [PDF]
, 2013 We show explicitly that all 2nd order superintegrable systems in 2 dimensions are limiting cases of a single system: the generic 3-parameter potential on the 2-sphere, S9 in our listing.
Willard Miller Jr. +8 more
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Asymptotically extremal polynomials with respect to varying weights and application to Sobolev orthogonality [PDF]
, 2008 9 pages, no figures.-- MSC2000 code: 33C45.MR#: MR2431543 (2009g:41009)Zbl#: Zbl 1155.33006We study the asymptotic behavior of the zeros of a sequence of polynomials whose weighted norms, with respect to a sequence of weight functions, have the same $n ...
Díaz Mendoza, Carlos J. +3 more
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On the Connection Coefficients of the Chebyshev-Boubaker Polynomials
The Scientific World Journal, 2013 The Chebyshev-Boubaker polynomials are the orthogonal polynomials whose coefficient arrays are defined by ordinary Riordan arrays. Examples include the Chebyshev polynomials of the second kind and the Boubaker polynomials.
Paul Barry
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