ON THE ZEROS OF ANALYTIC FUNCTIONS

Abstract

By the use of Rouche's Theorem, the zeros of analytic functions, expressed as power series, can be located with respect to certain circles. The same technique yields zero-free circular and annular regions. Finally, an application to the coefficients of univalent functions is derived. (Author)

Document Details

Document Type
Technical Report
Publication Date
May 01, 1961
Accession Number
AD0259136

Entities

People

  • Leon Kotin

Organizations

  • United States Army Communications-Electronics Command

Tags

DTIC Thesaurus Topics

  • Analytic Functions
  • Coefficients
  • Functions (Mathematics)
  • Mathematical Analysis
  • Mathematics
  • Power Series

Fields of Study

  • Mathematics

Readers

  • Electromagnetic Wave Scattering and Antenna Radiation Engineering
  • Linear Algebra