On Analytic Continuation of the Power Series Outside of the Convergence Disc

Authors

  • Levon Nurbekyan Instituto Superior Tecnico Lisbon, Portugal and University of Austin at Texas Austin, Texas

Abstract

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

Downloads

Published

2012-05-25

Issue

Section

Articles

How to Cite

On Analytic Continuation of the Power Series Outside of the Convergence Disc. (2012). Armenian Journal of Mathematics, 4(1), 25-43. https://armjmath.sci.am/index.php/ajm/article/view/82