scholarly journals Universal Taylor series on products of planar domains

2021 ◽  
Vol 7 (2) ◽  
Author(s):  
K. Kioulafa ◽  
G. Kotsovolis ◽  
V. Nestoridis
Keyword(s):  
Taylor Series ◽  
Planar Domains ◽  
Universal Taylor Series

Universal Taylor series on arbitrary planar domains

2009 ◽  
Vol 347 (7-8) ◽  
pp. 363-367 ◽  
Author(s):  
Vassili Nestoridis ◽  
Christos Papachristodoulos
Keyword(s):  
Taylor Series ◽  
Planar Domains ◽  
Universal Taylor Series

scholarly journals Universal Taylor series for non-simply connected domains

2010 ◽  
Vol 348 (9-10) ◽  
pp. 521-524 ◽  
Author(s):  
Stephen J. Gardiner ◽  
Nikolaos Tsirivas
Keyword(s):  
Taylor Series ◽  
Universal Taylor Series ◽  
Simply Connected ◽  
Simply Connected Domains

scholarly journals Banach Spaces of Universal Taylor Series in the Disc Algebra

2016 ◽  
Vol 86 (1) ◽  
pp. 1-11 ◽  
Author(s):  
Luis Bernal-González ◽  
Andreas Jung ◽  
Jürgen Müller
Keyword(s):  
Banach Spaces ◽  
Taylor Series ◽  
Disc Algebra ◽  
Universal Taylor Series

Boundary Behavior of Universal Taylor Series and Their Derivatives

2005 ◽  
Vol 24 (1) ◽  
pp. 1-15 ◽  
Author(s):  
David H. Armitage ◽  
George Costakis
Keyword(s):  
Taylor Series ◽  
Boundary Behavior ◽  
Universal Taylor Series

Universal Taylor series on non-simply connected domains

Analysis ◽  
2007 ◽  
Vol 26 (3) ◽  
pp. 347-363 ◽  
Author(s):  
George Costakis ◽  
Vagia Vlachou
Keyword(s):  
Taylor Series ◽  
Universal Taylor Series ◽  
Simply Connected ◽  
Simply Connected Domains

Some remarks on universal functions and Taylor series

2000 ◽  
Vol 128 (1) ◽  
pp. 157-175 ◽  
Author(s):  
G. COSTAKIS
Keyword(s):  
Complex Plane ◽  
Taylor Series ◽  
Connected Domain ◽  
Constructive Proof ◽  
Universal Functions ◽  
Baire’S Theorem ◽  
Simply Connected Domain ◽  
Universal Taylor Series ◽  
Simply Connected

We derive properties of universal functions and Taylor series in domains of the complex plane. For some of our results we use Baire's theorem. We also give a constructive proof, avoiding Baire's theorem, of the existence of universal Taylor series in any arbitrary simply connected domain.

scholarly journals Boundary behaviour of universal Taylor series

2014 ◽  
Vol 352 (2) ◽  
pp. 99-103 ◽  
Author(s):  
Stephen J. Gardiner ◽  
Dmitry Khavinson
Keyword(s):  
Taylor Series ◽  
Boundary Behaviour ◽  
Universal Taylor Series
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