Publication result detail

On complex trinomial roots distribution

TOMÁŠEK, P.; JÁNSKÝ, J.

Original Title

On complex trinomial roots distribution

English Title

On complex trinomial roots distribution

Type

Scopus Article

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.

English 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

Key words in English

polynomial; roots location; unit modulus

Authors

TOMÁŠEK, P.; JÁNSKÝ, J.

RIV year

2024

Released

19.06.2023

Publisher

Brno University of Technology

Location

Brno

ISBN

1805-3610

Periodical

Mathematics for applications

Volume

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"
}