Geodesic
On entire functions of finite order with zeros on curves of regular rotation
Izvestiya. Mathematics , Tome 7 (1973) no. 3, pp. 601-627

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In this paper we consider the asymptotic behavior of canonical Weierstrass products with zeros on curves of regular rotation $$ \operatorname{Arg}z=\gamma(|z|)\lim_{x\to+\infty}x\gamma'(x)=c,\qquad-\infty\infty. $$ 
@article{IM2_1973_7_3_a7,
     author = {S. K. Balashov},
     title = {On entire functions of finite order with zeros on curves of regular rotation},
     journal = {Izvestiya. Mathematics },
     pages = {601--627},
     publisher = {mathdoc},
     volume = {7},
     number = {3},
     year = {1973},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1973_7_3_a7/}
}
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S. K. Balashov. On entire functions of finite order with zeros on curves of regular rotation. Izvestiya. Mathematics , Tome 7 (1973) no. 3, pp. 601-627. http://geodesic.mathdoc.fr/item/IM2_1973_7_3_a7/