Tauberian Theorem for Generating Functions of Multiple Series

DOI10.1137/S0040585X97T987703zbMath1347.40004OpenAlexW2415317492MaRDI QIDQ2811903

Arsen L. Yakymiv

Publication date: 8 June 2016

Published in: Theory of Probability & Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0040585x97t987703

zbMATH Keywords

Tauberian theoremmultiple power seriesone-sided weakly oscillating multiple sequences

Mathematics Subject Classification ID

Power series, series of functions of several complex variables (32A05) Multiple sequences and series (40B05) Tauberian theorems (40E05)

Related Items (2)

On the distribution of multiple power series regularly varying at the boundary point ⋮ On the Order of Random Permutation with Cycle Weights

Cites Work

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• Limit Theorem for the General Number of Cycles in a Random A-Permutation
• A limit theorem for the logarithm of the order of a random A-permutation
• Decomposable Critical Bellman-Harris Branching Process with Two Types of Particles, I
• Discrete Limit Distributions of the Number of Particles in a Bellman-Harris Branching Process with Several Types of Particles
• MULTIDIMENSIONAL TAUBERIAN THEOREMS AND THEIR APPLICATION TO BELLMAN-HARRIS BRANCHING PROCESSES
• Discrete Limit Distributions of the Number of Particles in Critical Bellman–Harris Branching Process
• A Critical Galton–Watson Branching Process with Emigration
• On a Number of Components in a Random $A$-Mapping

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