In this note we consider asymptotics of the multipoint Padé approximants to Cauchy integrals of analytic non-vanishing densities defined on a Jordan arc connecting -1 and 1. We allow for the situation where the (symmetric) contour attracting the poles of the approximants does separate the plane
International audienceWe study diagonal multipoint Padé approximants to functions of the form \[F(z)...
In this paper it is shown that if the volume sum ∑r = 1∞ Ψ(r) converges for a monotonic function Ψ t...
AbstractWe obtain the strong asymptotics for the sequence of monic polynomials minimizing the norm‖q...
20 pages, no figures.-- MSC1991 codes: 41A21, 42C05, 30E10.MR#: MR1820073 (2002i:41021)Zbl#: Zbl 116...
AbstractWe study the convergence behavior of the diagonal sequence of the Padé table associated with...
Let f be a germ of an analytic function at infinity that can be analytically continued along any pat...
14 pages, no figures.-- MSC1991 codes: Primary 41A21, 41A25; Secondary 30E10, 42C05.MR#: MR1606915 (...
We introduce a new class of nonlinear mappings, the class of phi-strongly quasi-accretive operators ...
AbstractThe convergence theorem of de Montessus de Ballore type is satisfactory also for multipoint ...
In the present paper we prove a Stieltjes type theorem on the convergence of a sequence of rational ...
32 pages, no figures.-- MSC1991 code: Primary, 42CD5.MR#: MR2186304 (2006h:41017)Zbl#: Zbl 1136.4230...
We consider the planar orthogonal polynomial $p_{n}(z)$ with respect to the measure supported on the...
22 pages, no figures.-- MSC2000 code: 41A21.MR#: MR1820896 (2002a:41014)Zbl#: Zbl 0982.41008Let μ be...
19 pages, no figures.-- MSC1991 codes: Primary 30E10, 42C05.MR#: MR2263738 (2007g:42041)Zbl#: Zbl 11...
In this work type II Hermite-Padé approximants for a vector of Cauchy transforms of smooth Jacobi-ty...
International audienceWe study diagonal multipoint Padé approximants to functions of the form \[F(z)...
In this paper it is shown that if the volume sum ∑r = 1∞ Ψ(r) converges for a monotonic function Ψ t...
AbstractWe obtain the strong asymptotics for the sequence of monic polynomials minimizing the norm‖q...
20 pages, no figures.-- MSC1991 codes: 41A21, 42C05, 30E10.MR#: MR1820073 (2002i:41021)Zbl#: Zbl 116...
AbstractWe study the convergence behavior of the diagonal sequence of the Padé table associated with...
Let f be a germ of an analytic function at infinity that can be analytically continued along any pat...
14 pages, no figures.-- MSC1991 codes: Primary 41A21, 41A25; Secondary 30E10, 42C05.MR#: MR1606915 (...
We introduce a new class of nonlinear mappings, the class of phi-strongly quasi-accretive operators ...
AbstractThe convergence theorem of de Montessus de Ballore type is satisfactory also for multipoint ...
In the present paper we prove a Stieltjes type theorem on the convergence of a sequence of rational ...
32 pages, no figures.-- MSC1991 code: Primary, 42CD5.MR#: MR2186304 (2006h:41017)Zbl#: Zbl 1136.4230...
We consider the planar orthogonal polynomial $p_{n}(z)$ with respect to the measure supported on the...
22 pages, no figures.-- MSC2000 code: 41A21.MR#: MR1820896 (2002a:41014)Zbl#: Zbl 0982.41008Let μ be...
19 pages, no figures.-- MSC1991 codes: Primary 30E10, 42C05.MR#: MR2263738 (2007g:42041)Zbl#: Zbl 11...
In this work type II Hermite-Padé approximants for a vector of Cauchy transforms of smooth Jacobi-ty...
International audienceWe study diagonal multipoint Padé approximants to functions of the form \[F(z)...
In this paper it is shown that if the volume sum ∑r = 1∞ Ψ(r) converges for a monotonic function Ψ t...
AbstractWe obtain the strong asymptotics for the sequence of monic polynomials minimizing the norm‖q...
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