Accession Number : AD0710791

Title :   A NEW METHOD FOR ESTABLISHING THE EXISTENCE OF ANALYTIC FUNCTIONS. II. THE SCHROEDER SERIES.

Descriptive Note : Technical rept.,

Corporate Author : CALIFORNIA UNIV BERKELEY SPACE SCIENCES LAB

Personal Author(s) : Diliberto,Stephen P.

Report Date : JUL 1970

Pagination or Media Count : 25

Abstract : The report contains a new proof of the convergence of Schroder's series. The method employed is a new one. It has the advantage of emphasizing that one of the critical points in the earlier proof by Siegel concerns estimates for the inverse function. (Author)

Descriptors :   (*ANALYTIC FUNCTIONS, ITERATIONS), (*POWER SERIES, CONVERGENCE), TRANSFORMATIONS(MATHEMATICS), INEQUALITIES, THEOREMS

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE