Accession Number : AD0651246

Title :   ASYMPTOTIC EXPANSIONS FOR THE COEFFICIENTS OF ANALYTIC FUNCTIONS.

Descriptive Note : Technical summary rept.,

Corporate Author : WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s) : Harris,Bernard ; Schoenfeld,Lowell

Report Date : FEB 1967

Pagination or Media Count : 25

Abstract : Under suitable hypotheses concerning the analytic function f(z) = Sum from n=o to infinity of (alpha sub n)z to the nth power, it is shown that alpha sub n has an asymptotic expansion for large n. This result is used to estimate the number of idempotent elements in the symmetric semigroup on n elements. (Author)

Descriptors :   (*ASYMPTOTIC SERIES, *ANALYTIC FUNCTIONS), COMPLEX VARIABLES, THEOREMS

Subject Categories : Numerical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE