COMPLEX FUNCTION THEORY OVER NON-ARCHIMEDEAN FIELDS

Abstract

A satisfactory theory of complex functions is shown to exist over certain non-Archimedean fields. The theory is applie to the simplification and development of some branches of classical Function Theory. New results are obtained concerning the zeros of complex polynomials and on th behavior of an analytic function in the neighbor ood of an essential singularity. Mathematical Logic provides a basic part of the arguments. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1962
Accession Number
AD0282416

Entities

People

  • Abraham Robinson

Organizations

  • Hebrew University of Jerusalem

Tags

DTIC Thesaurus Topics

  • Analytic Functions
  • Logic
  • Mathematical Logic
  • Mathematics
  • Polynomials

Fields of Study

  • Mathematics

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Linear Algebra
  • Operations Research