Let f be an entire function such that |f(2)| < A + B|z|" for all z E C, where A and B are positive real constants and n is a fixed non-negative integer. Show that f is a polynomial of degree at most n.
Let f be an entire function such that |f(2)| < A + B|z|" for all z E C, where A and B are positive real constants and n is a fixed non-negative integer. Show that f is a polynomial of degree at most n.
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter8: Polynomials
Section8.1: Polynomials Over A Ring
Problem 12E: a. Find a nonconstant polynomial in Z4[ x ], if one exists, that is a unit. b. Find a nonconstant...
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