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
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On the L 2 -norm of Gegenbauer polynomials. [PDF]
Math Sci (Karaj), 2022 Ferizović D.
europepmc +1 more source
Classical Hermite and Laguerre Polynomials and the zero-distribution of Riemann's ζ-function [PDF]
, 2013 [Rusev Peter; Russev Peter; Russev P.; Русев Петр; Русев Петър]Necessary and sufficient conditions for absence of zeros of the function ζ(s), s=σ+it, in the half-plane σ>θ, 1/2 ...
Rusev, Peter
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Hermite Polynomials and the Zero-Distribution of Riemann's Zeta Function
, 2010 AMS Subject Classification 2010: 11M26, 33C45, 42A38.Necessary and sufficient conditions for absence of zeros of ζ(s) in the half-plane σ ... Expansion of holomorphic functions in series of Hermite polynomials ..
Rusev, Peter
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Върху един метод на сумиране, дефиниран чрез полиномите на Ермит
, 2012 Георги С. Бойчев - В статията се разглежда метод за сумиране на редове, дефиниран чрез полиномите на Ермит. За този метод на сумиране са дадени някои Тауберови теореми.A summability method, defined by mean of the Hermite polynomials, is proposed.
Boychev, Georgi
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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 ...
Marcellán, Francisco +4 more
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A high order q-difference equation for q-Hahn multiple orthogonal polynomials [PDF]
, 2009 15 pages, no figures.-- MSC2000 code: 33C45.-- ArXiv pre-print available at: http://arxiv.org/abs/0910.4041Article in pressA high order linear q-difference equation with polynomial coefficients having q-Hahn multiple orthogonal polynomials as ...
Arvesú Carballo, Jorge +6 more
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Asymptotics and zeros of Sobolev orthogonal polynomials on unbounded supports [PDF]
, 2006 30 pages, no figures.-- MSC2000 codes: Primary 42C05; Secondary 33C45.MR#: MR2273888 (2007i:42002)Zbl#: Zbl 1137.42312In this paper we present a survey about analytic properties of polynomials orthogonal with respect to a weighted Sobolev inner product ...
Marcellán, Francisco +4 more
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Heat kernels of the discrete Laguerre operators. [PDF]
Lett Math Phys, 2021 Kostenko A.
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Modification of linear functionals with Dirac masses: Class of the modified linear functional [PDF]
, 2004 20 pages, no figures.-- MSC2000 codes: Primary 33C45, Secondary 46F10, 47A57.MR#: MR2144880 (2006j:33009)In this paper we analyze modifications of some classical linear functionals.
Marcellán, Francisco +4 more
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