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

Levon Nurbekyan*

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

© 2012 The Author(s) and the original publisher.

CC BY 4.0 This work is licensed under a Creative Commons Attribution 4.0 International License.
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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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