caa a22 4500 605526117 CHVBK 20210128100801.0 cr unu---uuuuu 210128e20150901xx s 000 0 eng 10.1007/s10958-015-2523-1 doi (NATIONALLICENCE)springer-10.1007/s10958-015-2523-1 Entire Functions with Preassigned Zero Proximate Order [Elektronische Daten] [A. Grishin, Nguen Van Quynh] It is known that if a proximate order ρ(r) is such that lim ρ(r) = ρ > 0, r→∞, then there exists an entire function f(z) of proximate order ρ(r). In the case where ρ = 0, the question about the existence of such an entire function remained open until now. This question is studied in the paper. Bibliography 6 titles. Springer Science+Business Media New York, 2015 Grishin A. Kharkov V. N. Karazin National University, Kharkov, Ukraine aut Van Quynh Nguen Kharkov V. N. Karazin National University, Kharkov, Ukraine aut Journal of Mathematical Sciences Springer US; http://www.springer-ny.com 209/5(2015-09-01), 753-760 1072-3374 209:5<753 2015 209 10958 https://doi.org/10.1007/s10958-015-2523-1 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10958-015-2523-1 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Grishin A. Kharkov V. N. Karazin National University, Kharkov, Ukraine aut NATIONALLICENCE 700 1- Van Quynh Nguen Kharkov V. N. Karazin National University, Kharkov, Ukraine aut NATIONALLICENCE 773 0- Journal of Mathematical Sciences Springer US; http://www.springer-ny.com 209/5(2015-09-01), 753-760 1072-3374 209:5<753 2015 209 10958