Universal Power Series in $mathbb{C}^N$

Canadian mathematical bulletin

Raphaël Clouâtre¹ 

[1] Department of Mathematics, Indiana University, Bloomington, IN 47405, U.S.A.

关键词: log-concavity;    $q$-log-convexity;    strong $q$-log-convexity;    Bell polynomials;    Bessel polynomials;    Ramanujan polynomials;    Dowling polynomials;   

DOI  :  10.4153/CMB-2011-009-3

学科分类：数学（综合）

来源: University of Toronto Press * Journals Division

【 摘 要 】

We establish the existence of power series in $mathbb{C}^N$ with the propertythat the subsequences of the sequence of partial sums uniformlyapproach any holomorphic function on any well chosen compact subsetoutside the set of convergence of the series. We also show that, in acertain sense, most series enjoy this property.

【 授权许可】

Unknown