Publication:
Sharp Bounds for Asymptotic Characteristics of Growth of Entire Functions with Zeros on Given Sets

Простая страница элемента
dc.contributor.authorBraichev, G. G.
dc.contributor.authorSherstyukov, V. B.
dc.date.accessioned2024-11-27T07:58:41Z
dc.date.available2024-11-27T07:58:41Z
dc.date.issued2020
dc.description.abstract© 2020, Springer Science+Business Media, LLC, part of Springer Nature.This paper provides an overview of the latest research on the two-sided estimates of classical characteristics of growth of entire functions such as the type and the lower type in terms of the ordinary or average densities of the distribution of zeros. We give also accurate estimates of the type of an entire function, taking into account additionally the step and the lacunarity index of the sequence of zeros. The results under consideration are based on the solution of extremal problems in classes of entire functions with restrictions on the behavior of the zero set. Particular attention is paid to the following important cases of the location of zeros: on a ray, on a straight line, on a number of rays, in the angle, or arbitrarily in the complex plane.
dc.format.extentС. 419-453
dc.identifier.citationBraichev, G. G. Sharp Bounds for Asymptotic Characteristics of Growth of Entire Functions with Zeros on Given Sets / Braichev, G.G., Sherstyukov, V.B. // Journal of Mathematical Sciences (United States). - 2020. - 250. - № 3. - P. 419-453. - 10.1007/s10958-020-05024-4
dc.identifier.doi10.1007/s10958-020-05024-4
dc.identifier.urihttps://www.doi.org/10.1007/s10958-020-05024-4
dc.identifier.urihttps://www.scopus.com/record/display.uri?eid=2-s2.0-85091173221&origin=resultslist
dc.identifier.urihttps://openrepository.mephi.ru/handle/123456789/22350
dc.relation.ispartofJournal of Mathematical Sciences (United States)
dc.titleSharp Bounds for Asymptotic Characteristics of Growth of Entire Functions with Zeros on Given Sets
dc.typeArticle
dspace.entity.typePublication
oaire.citation.issue3
oaire.citation.volume250
relation.isOrgUnitOfPublicationd19559ab-04cd-486a-ae8e-f40ccd36a1a6
relation.isOrgUnitOfPublication.latestForDiscoveryd19559ab-04cd-486a-ae8e-f40ccd36a1a6
Файлы
Коллекции
Публикации