Mišu universalumo teoremos apibendrinimas /

Lets=+ibe a complex variable, and,0< 1, be a fixed parameter. The Riemannand Hurwitz zeta - functions(s)and(s;)are defined, for >1, by the series(s) =1Xm=11msand(s;) =1Xm=01(m+)s;and were meromorphically continued to the whole complex plane.It is known that functions(s)and(s;)are universal in the sence of that, their shifts(s+i)and(s+i;)approximate every analytic function. H. Mishou proved joint universality theoremon the approximation of a pair of analytic functions by shifts((s+i);(s+i;)).In the masters degree work, we consider the universality of composite functionsF((s);(s;))for some operators F. LetD=fs2C:12< <1g,H(D)be the square of analytic functions onDequipped with the topology of uniform convergence on compact. LetKbe the class of compactsubsets of the stripDwith conected complements, and letH(K),K2K, be the class of continuosfunctions onKwhich are analytic in the interior ofK.

Grantor dc:publisher

Institutional Repository of Vilnius University

Year dc:date

2015

Author dc:creator

• Grigaliūnaitė, Justina,

Contributors dc:contributor

• Laurinčikas, Antanas

• generalization ; mishou ; universality

Statement dc:rights

• info:eu-repo/semantics/openAccess

Language dc:language

lit

Repository record dc:identifier

https://repository.vu.lt/VU:ELABAETD8757588&prefLang=en_US

OAI identifier oai:identifier

oai:vu.lt:elaba:8757588