On Analytic Continuation of the Power Series Outsideof the Convergence Disc

Levon Nurbekyan

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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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On Analytic Continuation of the Power Series Outsideof the Convergence Disc

Abstract

Author(s)

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On Analytic Continuation of the Power Series Outsideof the Convergence Disc

Abstract

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