Author： Bernal-González L. Calderón-Moreno M. C. Luh W.
Publisher： Springer Publishing Company
ISSN： 0133-3852
Source： Analysis Mathematica, Vol.31, Iss.4, 2005-11, pp. : 235-250
Disclaimer: Any content in publications that violate the sovereignty, the constitution or regulations of the PRC is not accepted or approved by CNPIEC.
Abstract
Assume that there are given a simply connected domain G</i>in the complex plane containing the open unit disk, but not the closed unit disk and an infinite triangular matrix A</i>. Under suitable conditions on A</i>, which are even weaker than its P</i>-regularity, in this paper we construct a noncontinuable holomorphic function Φ on G</i>such that the A</i>-transforms of its Taylor expansion around any point of G</i>tend to a scalar multiple of Φ compactly in G</i>and exhibit universal properties in the complement of G</i>with respect to uniform approximation on compact sets and to almost everywhere approximation on measurable sets.</para>
Related content
An approach to generalized holomorphic functions
Integral Transforms and Special Functions, Vol. 22, Iss. 4-5, 2011-04 ,pp. :
Access to resources
Recommend
Prescribed Derivatives of Holomorphic Functions
By Frerick L.
Complex Variables, Vol. 48, Iss. 2, 2003-01 ,pp. :
Functions Holomorphic along Holomorphic Vector Fields
By Kim Kang-Tae
Journal of Geometric Analysis, Vol. 19, Iss. 3, 2009-07 ,pp. :
Weighted Integrals of Holomorphic Functions in Cn
By Stevi
Complex Variables, Vol. 47, Iss. 9, 2002-01 ,pp. :