ANALYTIC ITERATION

Abstract

The explicit expression for coefficients of the power series expansion of F (s,z)t, where F (s,z) is the s-iterate of an analytic function F (z) = z + f2z squared + ... where s, in general, may be complex and t is any complex number, is given (Theorem I). This is preceded by the expose of previous results of the author in an appropriate form. The explicit expressions in Theorem I are applied to the computation of Grunsky's coefficients. Applications to problems of schlicht functions and iteration are indicated. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1961
Accession Number
AD0272418

Entities

People

  • Eri Jabotinsky

Organizations

  • Technion – Israel Institute of Technology

Tags

DTIC Thesaurus Topics

  • Analytic Functions
  • Coefficients
  • Complex Numbers
  • Computations
  • Functions (Mathematics)
  • Iterations
  • Mathematical Analysis
  • Mathematics
  • Numbers
  • Power Series
  • Sequences

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Linear Algebra