Indicators of functions of order less than one that are analytic in an open half-plane and have completely regular growth in interior angles
Izvestiya. Mathematics , Tome 9 (1975) no. 4, pp. 850-860.

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Necessary and sufficient conditions are obtained for a function of order $\rho$ analytic in the open half-plane to have completely regular growth with respect to the order $0\lambda\rho1$ in each angle in the interior of this half-plane. Formulas are also obtained for the indicators (with respect to the order $\lambda$) of functions of this class. Bibliography: 14 items.
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A. I. Kheifits. Indicators of functions of order less than one that are analytic in an open half-plane and have completely regular growth in interior angles. Izvestiya. Mathematics , Tome 9 (1975) no. 4, pp. 850-860. http://geodesic.mathdoc.fr/item/IM2_1975_9_4_a7/

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

[2] Govorov N. V., “Ob indikatore funktsii netselogo poryadka, analiticheskikh i vpolne regulyarnogo rosta v poluploskosti”, Dokl. AN SSSR, 162:3 (1965), 495–498 | MR | Zbl

[3] Govorov N. V., “Ob indikatore funktsii tselogo poryadka, analiticheskikh i vpolne regulyarnogo rosta v poluploskosti”, Dokl. AN SSSR, 172:4 (1967), 763–766 | MR | Zbl

[4] Govorov N. V., O funktsiyakh vpolne regulyarnogo rosta v poluploskosti, Kandidatskaya dissertatsiya, Rostov-na-Donu, 1966

[5] Govorov N. V., “Kraevaya zadacha Rimana s beskonechnym indeksom stepennogo poryadka menshe $1/2$”, Teoriya funktsii, funktsionalnyi analiz i ikh prilozheniya, no. 6, KhGU, Kharkov, 1968, 151–176 | MR

[6] Kheifits A. I., “Obobschenie teoremy E. Titchmarsha o tselykh funktsiyakh s otritsatelnymi nulyami”, Izv. VUZov, Matematika, 1973, no. 2(129), 99–105

[7] Markushevich A. I., Teoriya analiticheskikh funktsii, t. I, Nauka, M., 1967

[8] Kheifits A. I., “Ob odnom klasse funktsii, analiticheskikh v poluploskosti”, Vsesoyuznaya konferentsiya po TFKP, tezisy dokladov, Kharkov, 1971, 225–226

[9] Kheifits A. I., “Analiticheskie funktsii konechnogo poryadka v poluploskosti, imeyuschie vo vnutrennikh uglakh vpolne regulyarnyi rost”, Matematicheskii analiz i ego prilozheniya, 4, RGU, Rostov-na-Donu, 1972, 185–188

[10] Krylov V. I., “O funktsiyakh, regulyarnykh v poluploskosti”, Matem. sb., 6(48):1 (1939), 95–137

[11] Titchmarsh E., Teoriya funktsii, GITTL, M., L., 195

[12] Yanke E., Emde F., Lesh F., Spetsialnye funktsii, Nauka, M., 1964

[13] Beitmen G., Erdeii A., Tablitsy integralnykh preobrazovanii, t. I, Nauka, M., 1969

[14] Logvinenko V. N., “O tselykh funktsiyakh s nulyami na polupryamoi, I”, Teoriya funktsii, funktsionalnyi analiz i ikh prilozheniya, no. 16, KhGU, Kharkov, 1972, 154–158 | MR