Some Identities Involving Symmetric Functions.
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)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jun 01, 1970
- Accession Number
- AD0871596
Entities
People
- Edward A. Fay
- William O. Alltop
Organizations
- Naval Air Weapons Station China Lake