An Algorithm for Writing the Coefficients of a Polynomial with Given Zeros

Authors

C. W. Wester, Iowa State Teachers College

Document Type

Research

Abstract

Given a set of numbers {A₁}=a₁ …., a_n, we may represent the sum of the products, taken r at a time, of the first k numbers of the set by S(a_i,r,k). Obviously S(a_i,r,k)=S(a_i,r,k-l)+a_kS (a_i,r-1,k-1) for r, k>1. If in addition we define S (a_i,o,k) =1 for k>0 the relation holds for r,k=0. Also S(a_i,r,k)=O for k

Publication Date

1930

Journal Title

Proceedings of the Iowa Academy of Science

Volume

37

Issue

1

First Page

293

Last Page

293

Copyright

©1930 Iowa Academy of Science, Inc.

Language

en

File Format

application/pdf

Recommended Citation

Wester, C. W. (1930) "An Algorithm for Writing the Coefficients of a Polynomial with Given Zeros," Proceedings of the Iowa Academy of Science, 37(1), 293-293.
Available at: https://scholarworks.uni.edu/pias/vol37/iss1/69