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Title:Kompaktnost in konvergenca v prostoru analitičnih funkcij
Authors:Hedžet, Jaka (Author)
Jakovac, Marko (Mentor) More about this mentor... New window
Files:.pdf MAG_Hedzet_Jaka_2021.pdf (466,11 KB)
MD5: 29091DC2ED5DABA8AF7C9950E5F7568B
 
Language:Slovenian
Work type:Master's thesis/paper (mb22)
Typology:2.09 - Master's Thesis
Organization:FNM - Faculty of Natural Sciences and Mathematics
Abstract:V magistrskem delu predstavimo in preučujemo prostora zveznih in analitičnih funkcij kompleksne spremenljivke. Opazujemo nekatere značilnosti konvergence in kompaktnosti ter izpeljemo izrek o karakterizaciji normalnih množic. S pomočjo tega dokažemo nekatere pomembne izreke in prikažemo njihovo uporabo na konkretnem primeru. Za konec se lotimo še opazovanja dveh pomembnih funkcij in njune povezave ter predstavimo zelo znan nerešen problem.
Keywords:metrika, zveznost, konvergenca, kompaktnost, analitičnost, faktorizacija, normalne množice, funkcija gama, funkcija zeta
Year of publishing:2021
Publisher:[J. Hedžet]
Source:Maribor
UDC:515.1(043.2)
COBISS_ID:58178051 New window
NUK URN:URN:SI:UM:DK:AKN7H6VV
Views:83
Downloads:13
Metadata:XML RDF-CHPDL DC-XML DC-RDF
Categories:FNM
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Licences

License:CC BY-NC-ND 4.0, Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International
Link:http://creativecommons.org/licenses/by-nc-nd/4.0/
Description:The most restrictive Creative Commons license. This only allows people to download and share the work for no commercial gain and for no other purposes.
Licensing start date:11.03.2021

Secondary language

Language:English
Title:Compactness and convergence in the space of analytic functions
Abstract:In the thesis we define and study the spaces of continuous and analytic functions of complex variable. We notice some properties of convergence and compactness and implement a theorem that characterises normal sets. Using this we prove several important theorems and present their use on a specific example. We conclude by exploring the properties of two important functions and their relations and present a famous open problem.
Keywords:metrics, continuity, convergence, compactness, analyticalness, factorisation, normal sets, gamma function, zeta function


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