Results 221 to 230 of about 39,634 (266)

Notes on orthogonal polynomials for exponential weights (Root-distances. Weighted Lebesgue function)

Acta Mathematica Hungarica, 2008
We 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, 2021
Some 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
openaire   +2 more sources

Distributional Weight Functions for Orthogonal Polynomials

SIAM Journal on Mathematical Analysis, 1978
Given 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.
openaire   +2 more sources

Complex Weight Functions for Classical Orthogonal Polynomials

Canadian Journal of Mathematics, 1991
AbstractWe 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
openaire   +1 more source

Orthogonal Polynomials for Nonclassical Weight Functions

SIAM Journal on Numerical Analysis, 1979
In 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.
openaire   +2 more sources

Orthogonal polynomials with complex-valued weight function, II

Constructive Approximation, 1986
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +3 more sources

Orthogonality and distributional weight functions for Dunkl–Hermite polynomials

Integral Transforms and Special Functions, 2009
In 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
openaire   +1 more source

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