Results 71 to 80 of about 214 (120)
Generating functions and companion symmetric linear functionals [PDF]
, 2003 14 pages, no figures.-- MSC2000 codes: 33C45, 42C05.MR#: MR2004670 (2004i:33016)Zbl#: Zbl 1047.33004In this contribution we analyze the generating functions for polynomials orthogonal with respect to a symmetric linear functional u, i.e., a linear ...
Marcellán, Francisco +6 more
core +1 more source
Bivariate q-Laguerre–Appell polynomials and their applications
Applied Mathematics in Science and EngineeringRecently, the monomiality principle has been extended to q-polynomials, namely, the q-monomiality principle of q-Appell polynomials has been considered.
Mohammed Fadel +3 more
doaj +1 more source
, 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
Characterization of the Dᵂ-Laguerre-Hahn functionals [PDF]
, 2002 29 pages, no figures.-- MSC2000 codes: 33C45, 39A10.MR#: MR1914598 (2003e:33021)Zbl#: Zbl 1021.33007We give some characterization theorems for the DᵂLaguerre-Hahn linear functionals and we extend the concept of the class of the usual Laguerre-Hahn ...
Foupouagnigni, M. +4 more
core +1 more source
Heat kernels of the discrete Laguerre operators. [PDF]
Lett Math Phys, 2021 Kostenko A.
europepmc +1 more source
Modifications of quasi-definite linear functionals via addition of delta and derivatives of delta Dirac functions [PDF]
, 2004 20 pages, no figures.-- MSC2000 codes: 33C45, 33A65, 42C05.MR#: MR2061464 (2005b:33007)Zbl#: Zbl 1089.33005We consider the general theory of the modifications of quasi-definite linear functionals by adding discrete measures.
Marcellán, Francisco +8 more
core +1 more source
Second structure relation for semiclassical orthogonal polynomials [PDF]
, 2007 18 pages, no figures.-- MSC2000 codes: 42C05; 33C45.MR#: MR2289233 (2009a:33013)Zbl#: Zbl 1125.33008Classical orthogonal polynomials are characterized from their orthogonality and by a first or second structure relation.
Marcellán, Francisco +4 more
core +1 more source
On an extension of symmetric coherent pairs of orthogonal polynomials [PDF]
, 2005 14 pages, no figures.-- MSC2000 codes: Primary 33C45; 42C05.-- Issue title: "Proceedings of the Seventh International Symposium on Orthogonal Polynomials,Special Functions and Applications" (University of Copenhagen, Denmark, Aug 18-22, 2003).MR ...
Marcellán, Francisco +2 more
core +1 more source
Demonstratio MathematicaIn this work, we introduce a new operator M n, constructed using a partial differential equation, that is structurally similar to that of the exponential-type operator G n associated with p(x) = x 4/3, x ∈ (0, ∞). However, unlike G n, the operator M n is
Gupta Vijay +2 more
doaj +1 more source
Uniform Asymptotics of Orthogonal Polynomials Arising from Coherent States
, 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
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