Geodesic
On entire functions of completely regular growth along curves of regular rotation
Izvestiya. Mathematics , Tome 10 (1976) no. 2, pp. 321-338.

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In this paper it is shown that the class of entire functions of completely regular growth along curves of regular rotation coincides with the class of entire functions whose zeros are regularly distributed along these curves. Bibliography: 9 titles. 
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S. K. Balashov. On entire functions of completely regular growth along curves of regular rotation. Izvestiya. Mathematics , Tome 10 (1976) no. 2, pp. 321-338. http://geodesic.mathdoc.fr/item/IM2_1976_10_2_a5/

[1] Balashov S. K., “O tselykh funktsiyakh konechnogo poryadka s kornyami na krivykh pravilnogo vrascheniya”, Izv. AN SSSR. Ser. matem., 37 (1973), 603–629 | Zbl

[2] Levin B. Ya., Raspredelenie kornei tselykh funktsii, GITTL, M., 1956

[3] Phragmen et Lindelöf E., “Sur une extension d'un principe classique de l'analyse”, Acta math., 31 (1908) | MR | Zbl

[4] Macintyre A., “Laplace's transformation and integral functions”, Proc. London Math. Soc.(2), 45 (1938), 1–20 | DOI | Zbl

[5] Evgrafov M. A., Asimptoticheskie otsenki i tselye funktsii, Fizmatgiz, M., 1962 | MR

[6] Sansone Dzh., Obyknovennye differentsialnye uravneniya, IL, M., 1953

[7] Varshavskii S. E., “Konformnoe otobrazhenie beskonechnykh polos”, Matematika, 2:4 (1958), 67–116

[8] Balashov S. K., “O funktsiyakh vpolne regulyarnogo rosta po krivym .pravilnogo vrascheniya”, Dokl. AN SSSR, 209:3 (1973), 525–528 | Zbl

[9] Balashov S. K., “O tselykh funktsiyakh vpolne regulyarnogo rosta”, Fiziko-matematicheskie issledovaniya, Rostovskii gos. un-t, 1972, 99–102