Functional Equations Seminar
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Speaker:
Bruce Ebanks Department of Mathematics and Statistics Mississippi State University Time and Place: 4:00 p.m., Tuesday, September 17, 2002, 411 Allen Title: Generalized Cauchy difference equations Abstract: In this introductory lecture on functional equations, as examples of Cauchy difference equations, there will be a mention of f(x+y)-f(x)-f(y)=f(1/x+1/y) satisfied by the function f(x)=logx and f(x+y)-f(x)-f(y)=g(xy) satisfied by f(x)=x2 and g(x)=2x. The first question is whether we have all solutions of the first equation and the second equation. A more serious question is whether some general method can be devised for solving other equations of this type. Host: ebanks@math.msstate.edu |
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