Abstract
We prove that, if f( z) is an entire function and ¦f(z)¦ ⩽ (A 1 + A 2 ¦z¦ n) exp[ax 2 + by 2 + cx + dy] , then there are numbers C 1, C 2⩾ 0, depending only on n, A 1, A 2, a, b, c, and d such that ¦f′(z)¦ ⩽ (C 1 + C 2 ¦z¦ n + 1) exp(ax 2 + by 2 + cx + dy) .
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