Accession Number:

AD0871596

Title:

Some Identities Involving Symmetric Functions.

Descriptive Note:

Technical publication,

Corporate Author:

NAVAL WEAPONS CENTER CHINA LAKE CA

Personal Author(s):

Report Date:

1970-06-01

Pagination or Media Count:

31.0

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 jn, 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 jn, 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

Subject Categories:

  • Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE