Orthogonality and distributional weight functions for Dunkl–Hermite polynomials
Integral Transforms and Special Functions, 2009In this work, we give a new proof for the orthogonality of the Dunkl–Hermite polynomials , when the index μ>−1/2, via quasi-monomiality techniques and show that when−m−1 ...
N. Ben Salem, A. El Garna
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Determination of Functionality and Molecular Weight Distribution by Orthogonal Chromatography
Journal of Liquid Chromatography, 1990Abstract 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 +3 more
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Orthogonality of Certain Functions with Respect to Complex Valued Weights
Canadian Journal of Mathematics, 1981In 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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Adaptive Filters With Robust Augmented Space Linear Model: A Weighted $k$-NN Method
IEEE Transactions on Signal Processing, 2021As a new member of convex universal learning machines (CULMs), an augmented space linear model (ASLM) demonstrates strong learning and tracking capabilities in the fields of signal process and machine learning.
Qiangqiang Zhang +3 more
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Orthogonal Polynomials for a Family of Product Weight Functions on the Spheres
Canadian Journal of Mathematics, 1997AbstractBased 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, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Evaluation of Ionospheric Delays Based on Orthogonal Dimensionality Reduction Approach
, 2021The effect of space weather on Global Positioning System (GPS) signals transmitted through the ionosphere is a significant cause of range errors and can be vulnerable to GPS users.
Ravi Kiran Pyla, J R K Kumar Dabbakuti
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Polynomials orthogonal with respect to cardinal B-spline weight functions
Numerical Algorithms, 2017A 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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Optimizing Weighted-Sum Energy Efficiency in Downlink and Uplink NOMA Systems
IEEE Transactions on Vehicular Technology, 2020In this paper, weighted sum energy efficiency (WSEE) in uplink and downlink of a multi-user non-orthogonal multiple access (NOMA) system is considered. we adopt a more realistic power consumption model where signal processing power is modeled as a linear
M. Zamani +4 more
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Orthogonal Polynomials on the Ball and the Simplex for Weight Functions with Reflection Symmetries
Constructive Approximation, 2001In 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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