Abstract
Dedicated to Professor A. Pfluger on his seventieth birthday The purpose of this paper is to give a proof of T H E O R E M 1. Let f(z) be an entire function of finite, non-integral order a. If 3' satisfies max ( 89 h ) < 3 ' < [ h i + 1; /3 = w/23', then lim inf log If(ze'a)[ + log [f(ze-~)l ~ 2wX cos (wa -/3A) tzt-.| N(lz[, 1/f) sin ~rA The canonical product gx(z) with negative zeros and N(r, 1/gx)-rX/h has the asymptotic behavior [4, p. 232] ~r cos hO ,~ r log [gA(rei~ I = (1 +o(1)) sin wh
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