Multivariate analog of the Le Roy-Lindelöf theorem about power series analytic continuation

DOI10.1134/S1995080224604417MaRDI QIDQ6656803

A. J. Mkrtchyan

Publication date: 3 January 2025

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

analytic continuationpower series of several complex variables

Mathematics Subject Classification ID

Continuation of analytic objects in several complex variables (32D15) Power series, series of functions of several complex variables (32A05)

Cites Work

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• On analytic continuation of multiple power series beyond the domain of convergence
• On divergent series and functions defined by a Taylor series.
• Studying the multiple Mellin--Barnes integrals by means of multidimensional residues
• Gap and density theorems.
• ON EFFICIENT ANALYTIC CONTINUATION OF POWER SERIES
• Toric varieties
• Continuation of multiple power series in a sectorial domain
• Le calcul des résidus et ses applications à la théorie des fonctions.

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