Acta Mathematica Hungarica
Volume/Issue:
Volume 105: Issue 1-2
Universal holomorphic and harmonic functions with additional properties
Authors:
María Calderón-Moreno
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and
Jürgen Müller
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Pages:
1–15
Online Publication Date:
16 Aug 2006
Publication Date:
01 Oct 2004
Article Category:
Research Article
DOI:
https://doi.org/10.1023/b:amhu.0000045528.75745.d2
Keywords:
universal functions; P-holomorphic functions; totally omnipresent operators; lacunary holomorphic functions; harmonic functions; univalence; residual set
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Abstract  

Based on the concept of so-called (total) omnipresence of operators, several results on the generity of (translation-dilation) universal functions are proved. Mainly to have a unified approach to holomorphic and harmonic functions, in the first part operators on spaces of P-holomorphic functions are considered. The second part is devoted to holomorphic functions having lacunary power series structure and to holomorphic functions which are univalent in certain prescribed sets.

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Cover Acta Mathematica Hungarica
Acta Mathematica Hungarica
Print ISSN:
0236-5294
Online ISSN:
1588-2632

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Acta Mathematica Hungarica
Language English
Size B5
Year of
Foundation		 1950
Volumes
per Year		 3
Issues
per Year		 6
Founder Magyar Tudományos Akadémia  
Founder's
Address		 H-1051 Budapest, Hungary, Széchenyi István tér 9.
Publisher Akadémiai Kiadó
Springer Nature Switzerland AG
Publisher's
Address		 H-1117 Budapest, Hungary 1516 Budapest, PO Box 245.
CH-6330 Cham, Switzerland Gewerbestrasse 11.
Responsible
Publisher		 Chief Executive Officer, Akadémiai Kiadó
ISSN 0236-5294 (Print)
ISSN 1588-2632 (Online)

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