Results 31 to 40 of about 297 (88)
Asymptotics of orthogonal polynomials inside the unit circle and Szegö-Padé approximants [PDF]
, 2001 11 pages, no figures.-- MSC2000 codes: 42C05, 41A21.MR#: MR1858277 (2002h:42043)Zbl#: Zbl 1009.42016We study the asymptotic behavior of orthogonal polynomials inside the unit circle for a subclass of measures that satisfy Szegö's condition.
López Lagomasino, Guillermo +2 more
core +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 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
An electrostatic interpretation of the zeros of the Freud-type orthogonal polynomials [PDF]
, 2005 11 pages, no figures.-- AMS1991 codes: Primary 33C45, secondary 42C05.MR#: MR2149267 (2006e:33007)Zbl#: Zbl 1078.42017Polynomials orthogonal with respect to a perturbation of the Freud weight function, by the addition of a mass point at zero, are ...
Arvesú Carballo, Jorge +2 more
core +2 more sources
Perturbations in the Nevai matrix class of orthogonal matrix polynomials [PDF]
, 2001 24 pages, no figures.-- MSC2000 codes: 15A54, 15A21, 42C05.MR#: MR1855403 (2002i:42037)Zbl#: Zbl 0992.15022In this paper we study a Jacobi block matrix and the behavior of the limit of its entries when a perturbation of its spectral matrix measure by the
Marcellán, Francisco +6 more
core +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
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
wiley +1 more source
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
Integral Representations for the Product of Krawtchouk, Meixner, Charlier and Gottlieb Polynomials [PDF]
, 2011 The present paper deals with an integral representations for the product of two polynomials. Some hypergeometric form for the product of two polynomials are also indicated in the given note.
Ahmad Mumtaz +3 more
core
Numerical treatments of nonlinear Burgers–Fisher equation via a combined approximation technique
Kuwait Journal of ScienceA combined spectral matrix collocation strategy is presented to solve the time-dependent nonlinear Burgers–Fisher equation pertaining to various important physical mechanisms such as advection, diffusion, and logistic reaction.
Mohammad Izadi, Hari Mohan Srivastava
doaj +1 more source