Armenian Journal of Mathematics, 4(1)
2012; 25–43
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On Analytic Continuation of the Power Series Outsideof the Convergence Disc

Received: 2024-12-19 · Published: 2012-05-25

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Originally published in Armenian Journal of Mathematics, 4(1), 2012.

Original title
On Analytic Continuation of the Power Series Outsideof the Convergence Disc
Author
Levon Nurbekyan
Source journal
Armenian Journal of Mathematics, 4(1)
Published
2012-05-25
Licence
Creative Commons Attribution 4.0 International
Original
https://armjmath.sci.am/index.php/ajm/article/view/82

Abstract

In current work we discuss the issue of the analytic continuation of a power series alonga logarithmic spiral outside of the convergence disc. A necessary and sufficient condition interms of the interpolating entire function is obtained. Moreover, the relation in between thepossibility of analytic continuation and the density of the lacunas of a power series is studied.
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