On commutativity of polynomial functions

Date of Publication

1997

Document Type

Bachelor's Thesis

Degree Name

Bachelor of Science in Mathematics

College

College of Science

Department/Unit

Mathematics and Statistics

Abstract/Summary

This research is an exposition of the paper Commutativity of Polynomials by Shamuel Avital and Edward Barbeau published in the College Mathematics Journal in November 1992. It aims to present necessary and sufficient conditions for commutativity of linear and some nonlinear polynomial functions. Moreover, conditions under which polynomial function of degree of at most three commute with their derivatives are given. In the process, Tchebyshev polynomials are introduced and shown to be commutative.

Abstract Format

html

Language

English

Format

Print

Accession Number

TU08306

Shelf Location

Archives, The Learning Commons, 12F, Henry Sy Sr. Hall

Physical Description

44 leaves

Keywords

Polynomials; Functions; Chebyshev polynomials

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