Results 21 to 30 of about 1,174 (70)
Sobolev orthogonal polynomials: The discrete-continuous case
, 1999 In this paper, we study orthogonal polynomials with respect to the bilinear form B S (f, g) = F (c)AG(c) T + 〈u, f g〉, where u is a quasi-definite (or regular) linear functional on the linear space P of real polynomials, c is a real number, N is a ...
M. Alfaro +3 more
semanticscholar +1 more source
International Journal of Mathematics and Mathematical Sciences, Volume 24, Issue 10, Page 673-689, 2000., 2000 We give explicitly the recurrence coefficients of a nonsymmetric semi‐classical sequence of polynomials of class s = 1. This sequence generalizes the Jacobi polynomial sequence, that is, we give a new orthogonal sequence {Pˆn(α,α+1)(x,μ)}, where μ is an arbitrary parameter with ℜ(1 − μ) > 0 in such a way that for μ = 0 one has the well‐known Jacobi ...
Mohamed Jalel Atia
wiley +1 more source
On the existence of complex Hadamard submatrices of the Fourier matrices
Demonstratio Mathematica, 2019 We use a theorem of Lam and Leung to prove that a submatrix of a Fourier matrix cannot be Hadamard for particular cases when the dimension of the submatrix does not divide the dimension of the Fourier matrix.
Bond Bailey Madison +2 more
doaj +1 more source
On 2‐orthogonal polynomials of Laguerre type
International Journal of Mathematics and Mathematical Sciences, Volume 22, Issue 1, Page 29-48, 1999., 1999 Let be a sequence of 2‐orthogonal monic polynomials relative to linear functionals ω0 and ω1 (see Definition 1.1). Now, let be the sequence of polynomials defined by . When is, also, 2‐orthogonal, is called “classical” (in the sense of having the Hahn property). In this case, both and satisfy a third‐order recurrence relation (see below).
Khalfa Douak
wiley +1 more source
SECOND ORDER DIFFERENTIAL-DIFFERENCE EQUATION FOR DUNKL-CLASSICAL ORTHOGONAL POLYNOMIALS
, 2014 In this paper, we show that Dunkl-classical polynomial sequences can be characterized by a differential-difference equation.
J. Alaya, B. Bouras, Y. Habbachi
semanticscholar +1 more source
Fractal multiwavelets related to the cantor dyadic group
International Journal of Mathematics and Mathematical Sciences, Volume 21, Issue 2, Page 307-314, 1998., 1997 Orthogonal wavelets on the Cantor dyadic group are identified with multiwavelets on the real line consisting of piecewise fractal functions. A tree algorithm for analysis using these wavelets is described. Multiwavelet systems with algorithms of similar structure include certain orthogonal compactly supported multiwavelets in the linear double‐knot ...
W. Christopher Lang
wiley +1 more source
A variational principle for correlation functions for unitary ensembles, with applications
, 2013 In the theory of random matrices for unitary ensembles associated with Hermitian matrices,m−point correlation functions play an important role. We show that they possess a useful variational principle.
D. Lubinsky
semanticscholar +1 more source
Complex and distributional weights for sieved ultraspherical polynomials
International Journal of Mathematics and Mathematical Sciences, Volume 19, Issue 2, Page 229-242, 1996., 1993 Contour integral and distributional orthogonality of sieved ultraspherical polynomials are established for values of the parameters outside the natural range of orthogonality by positive measures on the real line. A general representation theorem for moment functionals is included.
Jairo A. Charris, Felix H. Soriano
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On the distributional orthogonality of the general Pollaczek polynomials
International Journal of Mathematics and Mathematical Sciences, Volume 19, Issue 3, Page 417-426, 1996., 1994 A distributional representation of the moment functional of the general Pollaczek polynomials is established. This representation holds for a wider range of parameters than the representation by a positive measure.
Jairo A. Charris, Felix H. Soriano
wiley +1 more source
Generating new classes of orthogonal polynomials
International Journal of Mathematics and Mathematical Sciences, Volume 19, Issue 4, Page 643-656, 1996., 1994 Given a sequence of monic orthogonal polynomials (MOPS), {Pn}, with respect to a quasi‐definite linear functional u, we find necessary and sufficient conditions on the parameters an and bn for the sequence to be orthogonal. In particular, we can find explicitly the linear functional v such that the new sequence is the corresponding family of orthogonal
Amílcar Branquinho +1 more
wiley +1 more source