Browsing by Subject "Series, Taylor's"

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A generalization of universal Taylor series in simply connected domains

Tsirivas, Nikolaos (Elsevier, 2012-04)

Let Ω be a simply connected proper subdomain of the complex plane and z0 be a point in Ω. It is known that there are holomorphic functions f on Ω for which the partial sums (Sn(f,z0)) of the Taylor series about z0 have ...
Universal Taylor series for non-simply connected domains

Gardiner, Stephen J. ; Tsirivas, Nikolaos (Elsevier, 2010-05)

It is known that, for any simply connected proper subdomain Omega of the complex plane and any point zeta in Omega, there are holomorphic functions on Omega that have "universal" Taylor series expansions about zeta; that ...