UPPER BOUNDS FOR RESISTANCE AND REACTANCE INTEGRALS OF ANALYTIC FUNCTIONS,

Abstract

The class of functions F(s) which are analytic in the right half-plane a5d which are real for s real is considered. A theorem is derived with places bounds on the integrals of the real and imaginary parts of F(i omega) in terms of the difference between the maximum and the minimum values of these quantities in the interval less than or equal to omega less than infinity. (Author)

Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1964
Accession Number
AD0432161

Entities

People

  • C. B. Sharpe

Organizations

  • University of Michigan

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Analytic Functions
  • Complex Variables
  • Electrical Impedance
  • Electrical Properties
  • Electricity
  • Integrals
  • Intervals
  • Mathematics
  • Reactance
  • Resistance

Fields of Study

  • Mathematics

Readers

  • Analytical Mechanics
  • Calculus or Mathematical Analysis