On Analytic Continuation of the Power Series Outsideof the Convergence Disc

Levon Nurbekyan

Received N/A; revised N/A; accepted N/A

This work is licensed under Creative Commons Attribution–NonCommercial International License (CC BY-NC 4.0).

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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On Analytic Continuation of the Power Series Outsideof the Convergence Disc

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