Study on the Performance Enhancement Mechanism of Basalt Fiber-Reinforced Hydraulic Concrete in Ship Lock Galleries. [PDF]
Lu B +5 more
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Motion-compensated diffusion encoding gradients for segmented thick-slab 3D magnetic resonance diffusion-weighted imaging of the brain. [PDF]
Johansson J +3 more
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Notes on orthogonal polynomials for exponential weights (Root-distances. Weighted Lebesgue function)
Acta Mathematica Hungarica, 2008We prove some results on the root-distances and the weighted Lebesgue function corresponding to orthogonal polynomials for exponential weights, where the weights are not necessarily symmetric.
Vértesi P
exaly +2 more sources
Orthogonal polynomials relative to weight functions of Prudnikov type
Numerical Algorithms, 2021Some orthogonal polynomials and their symmetric extensions with respect to the Prudnikov, the generalized Prudnikov and Prudnikov-type weight functions and their three-term recurrence relations have been investigated. The authors used the classical Chebyshev algorithm to compute the recurrence coefficients from the moments of the respective weight ...
Walter Gautschi, Gradimir V. Milovanovic
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Distributional Weight Functions for Orthogonal Polynomials
SIAM Journal on Mathematical Analysis, 1978Given any collection of real numbers $\{ \mu _i \} _{i = 0}^\infty $, called moments, satisfying a Hamburger-like condition $\Delta _n = \det [\mu _{i + j} ]_{i,j = 0}^n \ne 0$ and a growth condition $| {\mu _n } | < cM^n n!$, where c, M are constant, $n = 0,1, \cdots $, the Chebyshev polynomials $p_0 = 1$, \[p_n (x) = \left[ {{1 / {\Delta _{n - 1} }}}
Morton, Robert D., Krall, Allan M.
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Complex Weight Functions for Classical Orthogonal Polynomials
Canadian Journal of Mathematics, 1991AbstractWe give complex weight functions with respect to which the Jacobi, Laguerre, little q-Jacobi and Askey-Wilson polynomials are orthogonal. The complex functions obtained are weight functions in a wider range of parameters than the real weight functions.
Ismail, Mourad E. H. +2 more
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Orthogonal Polynomials for Nonclassical Weight Functions
SIAM Journal on Numerical Analysis, 1979In this paper we develop a technique for deriving orthogonal polynomials for a class of nonclassical weight functions from known orthogonal polynomials. Although the algorithms discussed here are not as general as the classical and more recently developed algorithms, they do provide an effective and simple method for generating such polynomials.
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Orthogonal polynomials with complex-valued weight function, II
Constructive Approximation, 1986zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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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