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Functional Equations and Second Degree Polynomials


Affiliations
1 Department of Pure Mathematics, University of Waterloo, Waterloo, N2L 3 GI, Canada
2 Department of Mathematics, University of Wollongong Wollongong, NSW, 2500, Australia
     

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We consider a number of functional equations in one variable whose solutions are quadratic polynomials. In most cases, it is possible to extend these results to functional equations of several variables whose solutions are polynomials of degree two.
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  • Functional Equations and Second Degree Polynomials

Abstract Views: 263  |  PDF Views: 0

Authors

P. L. Kannappan
Department of Pure Mathematics, University of Waterloo, Waterloo, N2L 3 GI, Canada
Philip G. Laird
Department of Mathematics, University of Wollongong Wollongong, NSW, 2500, Australia

Abstract


We consider a number of functional equations in one variable whose solutions are quadratic polynomials. In most cases, it is possible to extend these results to functional equations of several variables whose solutions are polynomials of degree two.