On analytic continuation of multiple power series beyond the domain of convergence

DOI10.3103/S1068362315010033zbMath1343.32002MaRDI QIDQ898546

A. J. Mkrtchyan

Publication date: 18 December 2015

Published in: Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences (Search for Journal in Brave)

zbMATH Keywords

analytic continuationinterpolating functionLindelöf transform

Mathematics Subject Classification ID

Power series, series of functions of several complex variables (32A05) Boundary behavior of power series in one complex variable; over-convergence (30B30)

Cites Work

• Studying the multiple Mellin--Barnes integrals by means of multidimensional residues
• Inversion of many-dimensional Mellin transforms and solutions of algebraic equations
• Singularities of hypergeometric functions in several variables
• On the localization of singularities of Lacunar power series
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