Publication detail

On complex trinomial roots distribution

TOMÁŠEK, P. JÁNSKÝ, J.

Original Title

On complex trinomial roots distribution

Type

journal article in Scopus

Language

English

Original Abstract

The paper deals with a certain trinomial with two strictly complex coefficients. The root locus technique is utilized to obtain a distribution of roots with respect to a unit circle in the complex plane. A number of roots inside the unit disk is described in a relation with the two parameter values. Several appropriate graphs illustrate the trinomial roots distribution in particular cases.

Keywords

polynomial; roots location; unit modulus

Authors

TOMÁŠEK, P.; JÁNSKÝ, J.

Released

19. 6. 2023

Publisher

Brno University of Technology

Location

Brno

ISBN

1805-3610

Periodical

Mathematics for applications

Year of study

12

Number

1

State

Czech Republic

Pages from

49

Pages to

58

Pages count

10

URL

https://mathsapplication.com/wp-content/uploads/2023/07/10.13164.ma_.2023.03.pdf

BibTex

@article{BUT184461,
  author="Petr {Tomášek} and Jiří {Jánský}",
  title="On complex trinomial roots distribution",
  journal="Mathematics for applications",
  year="2023",
  volume="12",
  number="1",
  pages="49--58",
  doi="10.13164/ma.2023.03",
  issn="1805-3610",
  url="https://mathsapplication.com/wp-content/uploads/2023/07/10.13164.ma_.2023.03.pdf"
}