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The converse of the Fabry-Pólya theorem on singularities of lacunary power series
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Valeri A. Martirosian
Published/Copyright:
July 29, 2016
Abstract
This paper is devoted to the converse of the classical Fabry-Pólya theorem dealing with the localization of singularities of lacunary power series on the boundary of the circle of convergence.
Keywords: power series; analytic continuation; location of singularities; uniform-tangential approximation
Published Online: 2016-7-29
Published in Print: 2005-5-1
© 2016 Oldenbourg Wissenschaftsverlag GmbH, Rosenheimer Str. 145, 81671 München
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- Convergence rate for some additive function on random permutations
- The converse of the Fabry-Pólya theorem on singularities of lacunary power series
- On meromorphic functions that share one value with their derivative
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Keywords for this article
power series;
analytic continuation;
location of singularities;
uniform-tangential approximation
Articles in the same Issue
- Masthead
- A nonlinear-stability analysis of second-order fluid in porous medium in presence of magnetic field
- Convergence rate for some additive function on random permutations
- The converse of the Fabry-Pólya theorem on singularities of lacunary power series
- On meromorphic functions that share one value with their derivative
- Interrelations Between the Taylor Coefficients of a Matricial Carathéodory Function and Its Cayley Transform
- Domains of uniform convergence of real rational chebyshev approximants
- Regular statistical convergence of multiple sequences
