Accession Number:

AD0272418

Title:

ANALYTIC ITERATION

Descriptive Note:

Corporate Author:

TECHNION - ISRAEL INST OF TECH HAIFA

Personal Author(s):

• JABOTINSKY,ERI

Report Date:

1961-06-01

Pagination or Media Count:

1.0

Abstract:

The explicit expression for coefficients of the power series expansion of F s,zt, 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 Grunskys coefficients. Applications to problems of schlicht functions and iteration are indicated. Author

Descriptors:

• *COMPLEX NUMBERS
• *STATISTICAL ANALYSIS
• *TAYLORS SERIES
• FUNCTIONS(MATHEMATICS)
• PARTIAL DIFFERENTIAL EQUATIONS
• POLYNOMIALS
• SEQUENCES(MATHEMATICS)

Subject Categories:

Distribution Statement:

APPROVED FOR PUBLIC RELEASE