Continuation of multiple power series in a sectorial domain

A. J. Mkrtchyan

Mathematische Nachrichten, 2019, vol. 292, issue 11, 2441-2451

Abstract: For multiple power series centered at the origin we consider the problem of its analytic continuability into a sectorial domain. The condition for continuability is formulated in terms of a holomorphic function that interpolates the series coefficients. For series in one variable this problem has been studied in the works of E. Lindelöf, N. Arakelian, and others.

Date: 2019
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