Results 231 to 240 of about 39,634 (266)

Determination of Functionality and Molecular Weight Distribution by Orthogonal Chromatography

Journal of Liquid Chromatography, 1990
Abstract During polymerization oligomers, telechelics and macromers with different endgroups are formed as a result of various mechanisms (starting, termination, cyclization. transfer reactions). The characterization of the resulting products is possible by using orthogonal chromatography. In order to characterize 1,3,6-trioxocane polymers, synthesized
Günter Schulz, Helmut Much, Hartmut Kruger, Carla Wehrstedt   +3 more
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An Orthogonal Set of Weighted Quaternionic Zernike Spherical Functions

2014
In this work, we give a brief description of the theory and properties of the three-dimensional quaternionic Zernike spherical polynomials (QZSPs). A refinement of the QZSPs to functions vanishing over the unit sphere leads to the computation of the weighted quaternionic Zernike spherical functions (WQZSFs).
Isabel Cação, João Morais
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Orthogonality of Certain Functions with Respect to Complex Valued Weights

Canadian Journal of Mathematics, 1981
In his work on the Dirichlet problem for the Heisenberg group Greiner [5] showed that each Lα-spherical harmonic is a unique linear combination of functions of the formwith k = 0, 1,2, … and n = 0, ±l, ±2 , …, where Hk(α, n)(θiθ) is defined by the generating functionSince Hk(0,0)(eiθ) = Pk(cos θ), where Pk(x) is the Legendre polynomial of degree k, and
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Orthogonal Polynomials for a Family of Product Weight Functions on the Spheres

Canadian Journal of Mathematics, 1997
AbstractBased on the theory of spherical harmonics for measures invariant under a finite reflection group developed by Dunkl recently, we study orthogonal polynomials with respect to the weight functions |x1|α1 . . . |xd|αd on the unit sphere Sd-1 in ℝd.
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Another look at polynomials orthogonal relative to exponential integral weight functions

Numerical Algorithms, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Polynomials orthogonal with respect to cardinal B-spline weight functions

Numerical Algorithms, 2017
A stable and efficient discretization procedure is developed to compute the recurrence coefficients for orthogonal polynomials whose weight function is a polynomial cardinal spline of order m ≥ 1. The procedure is compared with a symbolic moment-based method developed recently by G. V. Milovanovic. Numerical examples are provided for illustration.
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Orthogonal Polynomials on the Ball and the Simplex for Weight Functions with Reflection Symmetries

Constructive Approximation, 2001
In this paper the author first studied orthogonal polynomials on the unit ball \(B^d\) and their limit to the Hermite polynomials. The structure on standard simplex \(T^d\) and their limit relation to the Laguerre-type polynomials are also discussed.
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Computationally efficient technique for weight functions and effect of orthogonal polynomials on the average

Applied Mathematics and Computation, 2007
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Shelly Arora, S. S. Dhaliwal, Vijay Kumar Kukreja   +2 more
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Christoffel functions, orthogonal polynomials, and Nevai's conjecture for Freud weights

Constructive Approximation, 1992
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Levin, A. L., Lubinsky, D. S.
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Nonparametric Identification of Weighting Function by Orthogonal Series Method

1982 American Control Conference, 1982
A nonparametric algorithm for identifying the weighting function in linear dynamic continuous-time systems is proposed. The algorithm is derived from orthogonal series estimates of derivatives of regression functions. Asymptotic properties are investigated for a general orthogonal system and sufficient conditions for convergence in the sense of the ...
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