This article is cited in 4 papers

On entire functions of finite order with zeros on curves of regular rotation

S. K. Balashov


Abstract: In this paper we consider the asymptotic behavior of canonical Weierstrass products with zeros on curves of regular rotation
$$ \operatorname{Arg}z=\gamma(|z|)\lim_{x\to+\infty}x\gamma'(x)=c,\qquad-\infty<c<\infty. $$


UDC: 517.53

MSC: 30A08, 30A64

Received: 01.02.1972

 English version: Mathematics of the USSR-Izvestiya, 1973, 7:3, 601–627

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