Results 71 to 80 of about 163 (124)

Uniform Asymptotics of Orthogonal Polynomials Arising from Coherent States

open access: yes, 2015
. In this paper, we study a family of orthogonal polynomials {φn(z)} arising from nonlinear coherent states in quantum optics. Based on the three-term recurrence relation only, we obtain a uniform asymptotic expansion of φn(z) as the polynomial degree n ...
Dai, D.   +5 more
core   +1 more source

Върху някои редове на якоби

open access: yes, 2011
Георги С. Бойчев - Настоящата статия съдържа свойства на някои редове на Якоби.The paper presents properties of some Jacobi series. 2000 Mathematics Subject Classification: 33C45, 40G05.The second author is partially supported by the Research Sector of ...
Boychev, Georgi
core  

Zeros of Jacobi-Sobolev orthogonal polynomials [PDF]

open access: yes, 2003
10 pages, no figures.-- MSC2000 codes: 33C45.MR#: MR2027148 (2004m:33017)Zbl#: Zbl pre05376428We investigate zeros of Jacobi-Sobolev orthogonal polynomials with respect to $$\multline \langle f, g\rangle = \int_{-1}^1 f(x)g(x)(1-x)^{ \alpha }(1+x)^{\beta}
Marcellán, Francisco   +4 more
core  

Linearization and connection coefficients for hypergeometric-type polynomials

open access: yes, 1998
12 pages, no figures.-- MSC2000 codes: 33C45, 26C05.-- Issue title: "Proceedings of the VIIIth Symposium on Orthogonal Polynomials and Their Application" (Seville, Spain, Sep 1997).MR#: MR1662679 (99k:33006)Zbl#: Zbl 0927.33005We consider the problem of ...
Sánchez-Ruiz, Jorge   +3 more
core   +1 more source

Compatible pairs of orthogonal polynomials [PDF]

open access: yes, 1999
19 pages, no figures.-- MSC1991 code: 33C45.MR#: MR1736624 (2001a:33009)Zbl#: Zbl 0944.33012We find necessary and sufficient conditions for an orthogonal polynomial system to be compatible with another orthogonal polynomial system.
Marcellán, Francisco   +4 more
core  

Spherical Functions of Fundamental K-Types Associated with the n-Dimensional Sphere [PDF]

open access: yes, 2014
. In this paper, we describe the irreducible spherical functions of fundamental K-types associated with the pair (G,K) = (SO(n+ 1),SO(n)) in terms of matrix hypergeo-metric functions.
Ignacio Nahuel Zurrián   +5 more
core   +1 more source

AVersatile Spectral Matrix Collocation Method for Tackling Bratu, Riccati, and Higher Order Linear and Nonlinear Differential Equations Containing Delay Variables

open access: yes
 This study presents a numerical matrix collocation method for solving Bratu equations, Riccati equations, and high-order linear/nonlinear differential equations with delay variables—all of which hold significant importance in the literature ...
Baykuş Savaşaneril, Nurcan   +1 more
core   +1 more source

Manutenção em sistemas de distribuição de energia eletrica [PDF]

open access: yes, 1988
Dissertação (mestrado) - Universidade Federal de Santa Catarina. Centro TecnologicoNo Brasil, os métodos usados para a alocação de recursos de manutenção em linhas de distribuição de energia elétrica baseiam-se na determinação de uma escala de ...
Queiroz, Hermes Lacerda
core  

Multiple Orthogonal Polynomials on the Semicircle and Corresponding Quadratures of Gaussian Type

open access: yes, 2004
In this paper multiple orthogonal polynomials defined using orthogonality conditions spread out over r different measures are considered. We study multiple orthogonal polynomials on the real line, as well as on the semicircle (complex polynomials ...
Gradimir V Milovanović, Marija Stanić
core  

The shape of a tridiagonal pair

open access: yes, 2004
Let denote an algebraically closed field with characteristic 0. Let V denote a vector space over with finite positive dimension and let A,A* denote a tridiagonal pair on V. We make an assumption about this pair.
58   +5 more
core   +1 more source

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