Accession Number : AD0871596

Title :   Some Identities Involving Symmetric Functions.

Descriptive Note : Technical publication,

Corporate Author : NAVAL WEAPONS CENTER CHINA LAKE CA

Personal Author(s) : Fay, Edward A. ; Alltop, William O.

Report Date : JUN 1970

Pagination or Media Count : 31

Abstract : Let a sub j be the jth elementary symmetric function of the n quantities x sub 1, x sub 2,..., x sub n; that is, let a sub j be the sum of the possible products of the x sub j taken j at a time. Extending the concept, let (A sub j)(n, k) be the jth elementary symmetric function of the quantities which are the sums of the x sub j taken k at a time. The problem investigated is to obtain explicit expressions for the (A sub j)(n, k) in terms of the a sub j, i = 1, 2, ..., j. Such expressions are obtained for j = 1, 2, ..., 7, and general n and k. (Author)

Descriptors :   (*COMBINATORIAL ANALYSIS, FUNCTIONS(MATHEMATICS)), POLYNOMIALS, IDENTITIES, THEOREMS.

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE