Browsing College of Science by Subject "Taylor series"

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Determination of a universal series

Mouze, Augustin ; Nestoridis, Vassili ; Papadoperakis, Ioannis ; Tsirivas, Nikolaos (Heldermann Verlag, 2012-01)

The known proofs for universal Taylor series do not determine a specific universal Taylor series. In the present paper, we isolate a specific universal Taylor series by modifying the proof in [30]. Thus we determine all ...
Existence of universal Taylor series for non-simply connected domains

Gardiner, Stephen J. (Springer-Verlag, 2012-05-27)

It is known that, for any simply connected proper subdomain Ω of the complex plane and any point ζ in Ω, there are holomorphic functions on Ω that possess “universal” Taylor series expansions about ζ; that is, partial sums ...
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 ...