On convergence of ( , )-sequences of unisolvent rational approximants to meromorphic functions in .
Lutterodt, C.H. (1985)
International Journal of Mathematics and Mathematical Sciences
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Displaying similar documents to “Noncontinuable power series”
On convergence of ( , )-sequences of unisolvent rational approximants to meromorphic functions in .
Further remarks on formal power series
Marcin Borkowski, Piotr Maćkowiak (2012)
Commentationes Mathematicae Universitatis Carolinae
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In this paper, we present a considerable simplification of the proof of a theorem by Gan and Knox, stating a sufficient and necessary condition for existence of a composition of two formal power series. Then, we consider the behavior of such series and their (formal) derivatives at the boundary of the convergence circle, obtaining in particular a theorem of Bugajewski and Gan concerning the structure of the set of points where a formal power series is convergent with all its derivatives. ...
On uniform convergence for (mu,nu)-type rational approximants in II.
Lutterodt, Clement H. (1981)
International Journal of Mathematics and Mathematical Sciences
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Multidimensional analogue of the van der Corput-Visser inequality and its application to the estimation of the Bohr radius
L. Aizenberg, E. Liflyand, A. Vidras (2003)
Annales Polonici Mathematici
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We present a multidimensional analogue of an inequality by van der Corput-Visser concerning the coefficients of a real trigonometric polynomial. As an application, we obtain an improved estimate from below of the Bohr radius for the hypercone 𝓓₁ⁿ = {z ∈ ℂⁿ: |z₁|+. .. +|zₙ| < 1} when 3 ≤ n ≤ 10.
The coefficients of the Laurent expansion of analytic functions
Alexander Abian (1977)
Archivum Mathematicum
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On the normality of arithmetical constants.
Lagarias, Jeffrey C. (2001)
Experimental Mathematics
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A Kleene-Schützenberger theorem for Lindenmayerian rational power series
Juha Honkala (2010)
RAIRO - Theoretical Informatics and Applications
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We define L rational and L recognizable power series, and establish a Kleene-Schützenberger theorem for Lindenmayerian power series by showing that a power series is L rational if and only if it is L recognizable.
An analogue of Montel’s theorem for some classes of rational functions
R. K. Kovacheva, Julian Lawrynowicz (2002)
Czechoslovak Mathematical Journal
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For sequences of rational functions, analytic in some domain, a theorem of Montel’s type is proved. As an application, sequences of rational functions of the best -approximation with an unbounded number of finite poles are considered.