Results 41 to 50 of about 333,719 (298)
Asymptotics of orthogonal polynomials inside the unit circle and Szegö-Padé approximants [PDF]
, 2001 11 pages, no figures.-- MSC2000 codes: 42C05, 41A21.MR#: MR1858277 (2002h:42043)Zbl#: Zbl 1009.42016We study the asymptotic behavior of orthogonal polynomials inside the unit circle for a subclass of measures that satisfy Szegö's condition.
López Lagomasino, Guillermo +5 more
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Generalized Pseudospectral Method and Zeros of Orthogonal Polynomials
Advances in Mathematical Physics, 2018 Via a generalization of the pseudospectral method for numerical solution of differential equations, a family of nonlinear algebraic identities satisfied by the zeros of a wide class of orthogonal polynomials is derived.
Oksana Bihun, Clark Mourning
doaj +1 more source
Mathematics, 2023 This paper studies a new family of Angelesco multiple orthogonal polynomials with shared orthogonality conditions with respect to a system of weight functions, which are complex analogs of Pascal distributions on a legged star-like set.
Jorge Arvesú +1 more
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Szegő polynomials: some relations to L-orthogonal and orthogonal polynomials
Journal of Computational and Applied Mathematics, 2003 The authors consider the Szegö polynomials \(S_n(z)\) with real reflection coefficients and obtain some relations to certain self-inverse orthogonal \(L\)-polynomials defined on the unit circle and corresponding symmetric orthogonal polynomials on a real line. The polynomials obtained by rotating the coefficients in the recursive relations satisfied by
Bracciali, Cleonice Fátima +2 more
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Mathematics, 2015 The connection problem for orthogonal polynomials is, given a polynomial expressed in the basis of one set of orthogonal polynomials, computing the coefficients with respect to a different set of orthogonal polynomials.
Tom Bella, Jenna Reis
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Advanced Engineering Materials, EarlyView.Postbuild annealing systematically modifies the phase fractions and morphology of EB‐PBF processed Mo–9Si–8B. Quantitative microstructure–property correlations reveal how controlled phase evolution enhances high‐temperature compressive strength and creep resistance.
Christopher Schmidt +5 more
wiley +1 more source
Remarks on orthogonal polynomials with respect to varying measures and related problems
International Journal of Mathematics and Mathematical Sciences, 1993 We point out the relation between the orthogonal polynomials with respect to (w.r.t.) varying measures and the so-called orthogonal rationals on the unit circle in the complex plane.
Xin Li
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On quasi-orthogonal polynomials [PDF]
Proceedings of the American Mathematical Society, 1961 where the { pn(X) } n??= are the related orthogonal polynomials. We say that two polynomial sets are related if one set is quasi-orthogonal with respect to the interval and distribution of the orthogonality of the other set. Chihara [2 ] gave a necessary form for a recurrence relation for quasi-orthogonal polynomials. It is the purpose of this paper to
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Advanced Functional Materials, EarlyView.Printed negative‐dielectric‐anisotropy liquid‐crystal droplets enable multidimensional full‐vectorial optical‐field sensing across polarization, phase, and wavelength, while also generating tunable skyrmionic‐like complex optical fields. ABSTRACT Adaptive manipulation of vectorial optical fields is important for optical metrology, imaging, and ...
Jinge Guo +14 more
wiley +1 more source
Asymptotic behavior of orthogonal polynomials primitives [PDF]
, 2001 7 pages, no figures.-- MSC2000 codes: 42C05, 33C25.We study the zero location and the asymptotic behavior of the primitives of the standard orthogonal polynomials with respect to a finite positive Borel measure concentrate on [−1,1].Research of second (H.
Urbina, Wilfredo +5 more
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