Boundary Behavior of Universal Taylor Series and Their Derivatives

David H. Armitage; George Costakis

doi:10.1007/s00365-005-0610-0

Boundary Behavior of Universal Taylor Series and Their Derivatives

Constructive Approximation ◽

10.1007/s00365-005-0610-0 ◽

2005 ◽

Vol 24 (1) ◽

pp. 1-15 ◽

Cited By ~ 4

Author(s):

David H. Armitage ◽

George Costakis

Keyword(s):

Taylor Series ◽

Boundary Behavior ◽

Universal Taylor Series

Download Full-text

Boundary Behavior and Cesàro Means of Universal Taylor Series

Revista Matemática Complutense ◽

10.5209/rev_rema.2006.v19.n1.16662 ◽

2006 ◽

Vol 19 (1) ◽

Cited By ~ 8

Author(s):

Frédéric Bayart

Keyword(s):

Taylor Series ◽

Boundary Behavior ◽

Cesàro Means ◽

Cesaro Means ◽

Universal Taylor Series ◽

Cesáro Means

Download Full-text

Universal Taylor series for non-simply connected domains

Comptes Rendus Mathematique ◽

10.1016/j.crma.2010.03.003 ◽

2010 ◽

Vol 348 (9-10) ◽

pp. 521-524 ◽

Cited By ~ 10

Author(s):

Stephen J. Gardiner ◽

Nikolaos Tsirivas

Keyword(s):

Taylor Series ◽

Universal Taylor Series ◽

Simply Connected ◽

Simply Connected Domains

Download Full-text

Zeros and interpolation by universal Taylor series on simply connected domains

Mathematical Proceedings of the Cambridge Philosophical Society ◽

10.1017/s0305004105008406 ◽

2005 ◽

Vol 139 (1) ◽

pp. 149-159 ◽

Cited By ~ 7

Author(s):

GEORGE COSTAKIS

Keyword(s):

Taylor Series ◽

Universal Taylor Series ◽

Simply Connected ◽

Simply Connected Domains

Download Full-text

Banach Spaces of Universal Taylor Series in the Disc Algebra

Integral Equations and Operator Theory ◽

10.1007/s00020-016-2314-1 ◽

2016 ◽

Vol 86 (1) ◽

pp. 1-11 ◽

Cited By ~ 2

Author(s):

Luis Bernal-González ◽

Andreas Jung ◽

Jürgen Müller

Keyword(s):

Banach Spaces ◽

Taylor Series ◽

Disc Algebra ◽

Universal Taylor Series

Download Full-text

An extension of the notion of universal Taylor series

Computational Methods and Function Theory 1997 ◽

10.1142/9789812833044_0032 ◽

1999 ◽

Cited By ~ 8

Author(s):

Vassili Nestoridis

Keyword(s):

Taylor Series ◽

Universal Taylor Series

Download Full-text

Boundedness, regularity and smoothness of universal Taylor series

Archiv der Mathematik ◽

10.1007/s00013-006-1739-1 ◽

2006 ◽

Vol 87 (5) ◽

pp. 427-435 ◽

Cited By ~ 3

Author(s):

N. Tsirivas

Keyword(s):

Taylor Series ◽

Universal Taylor Series

Download Full-text

Universal Taylor series on non-simply connected domains

Analysis ◽

10.1524/anly.2007.26.3.347 ◽

2007 ◽

Vol 26 (3) ◽

pp. 347-363 ◽

Cited By ~ 1

Author(s):

George Costakis ◽

Vagia Vlachou

Keyword(s):

Taylor Series ◽

Universal Taylor Series ◽

Simply Connected ◽

Simply Connected Domains

Download Full-text

Some remarks on universal functions and Taylor series

Mathematical Proceedings of the Cambridge Philosophical Society ◽

10.1017/s0305004199003886 ◽

2000 ◽

Vol 128 (1) ◽

pp. 157-175 ◽

Cited By ~ 28

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.

Download Full-text