Complex Variable Theorems for Finding Zeroes and Poles of Transcendental Functions

The principle of the argument or the winding number is useful in finding the number of zeros of an analytic function in a given contour. A simple extension of this theorem yields relationships involving the locations of these zeros! The resulting equations can be solved very accurately for the zero...

Full description

Saved in:
Bibliographic Details
Published inJournal of physics. Conference series Vol. 1334; no. 1; pp. 12005 - 12012
Main Author Giri, Dr D V
Format Journal Article
LanguageEnglish
Published Bristol IOP Publishing 01.10.2019
Subjects
Analytic functions
Complex variables
Mathematical analysis
Physics
Polynomials
Resonant frequencies
Theorems
Transcendental functions
Online AccessGet full text

Cover

More Information
Summary:The principle of the argument or the winding number is useful in finding the number of zeros of an analytic function in a given contour. A simple extension of this theorem yields relationships involving the locations of these zeros! The resulting equations can be solved very accurately for the zero locations, thus avoiding initial, guess values, which are required by many other techniques. Examples such as a 20th order polynomial, natural frequencies of a thin wire will be discussed.
ISSN:1742-6588
1742-6596
DOI:10.1088/1742-6596/1334/1/012005