Accession Number : AD0758364

Title :   A Definition of Measure of Certain Infinite Series.

Descriptive Note : Technical rept.,

Corporate Author : NAVAL WEAPONS LAB DAHLGREN VA

Personal Author(s) : Frick,Charles H.

Report Date : FEB 1973

Pagination or Media Count : 19

Abstract : The series u(1) + u(2) + u(3) + ... + (u(n) + ... with u(t) being an analytic function of t (t > 0) is studied. A function, unique except for an arbitrary integration constant, is used in defining the measure of the series. The intimate relationship between measure and partial sums, as well as the sums of convergent series, is shown.

Descriptors :   (*SERIES(MATHEMATICS), MEASURE THEORY), ANALYTIC FUNCTIONS, NUMERICAL ANALYSIS, CONVERGENCE

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE