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math.CA1998
Compositions of Polynomials with Coefficients in a given Field
Alan Horwitz
Let F and K be fields of characteristic 0, with F a subset of K. Let K[x] denote the ring of polynomials with coefficients in K. For p in K[x]\F[x], deg(p) = n, let r be the highes…
math.CV1998
Even compositions of entire functions and related matters
Alan L. Horwitz
We examine when the composition of two entire functions f and g is even, and extend some of our results to cyclic compositions in general. We prove some theorems for the cases when…