title: Inequalities for the derivative of rational functions with prescribed poles and restricted zeros
metadata.name: dc.contributor.author
metadata.value: Ahanger, Uzma M.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Shah, Wal M.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2023-10-10T09:54:27Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2023-10-10T09:54:27Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2023-09
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Ahanger U.M., Shah W.M. Inequalities for the derivative of rational functions with prescribed poles and restricted zeros. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2023, vol. 10 (68), issue 3, pp. 554–567. https://doi.org/10.21638/spbu01.2023.309 (In Russian)
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: https://doi.org/10.21638/spbu01.2023.309
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/44176
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: In this paper, instead of assuming that a rational function r(z) with prescribed poles has
  a zero of order s at origin, we suppose that it has a zero of multiplicity s at any point
  inside the unit circle, whereas the remaining zeros are within or outside a circle of radius k
  and prove some results which besides generalizing some inequalities for rational functions
  include refinements of some polynomial inequalities as special cases.
metadata.lang: en_GB
metadata.name: dc.language.iso
metadata.value: ru
metadata.lang: en_GB
metadata.name: dc.publisher
metadata.value: St Petersburg State University
metadata.lang: en_GB
metadata.name: dc.relation.ispartofseries
metadata.value: Vestnik of St Petersburg University. Mathematics. Mechanics. Astronomy;Volume 10 (68); Issue 3
metadata.lang: -
metadata.name: dc.subject
metadata.value: inequalities
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: polynomials
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: rational functions
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: poles
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: zeros
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Inequalities for the derivative of rational functions with prescribed poles and restricted zeros
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 554-567.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/44176/1/554-567.pdf
resources.format: Adobe PDF
resources.size: 292,76 kB