caa a22 4500 605523371 CHVBK 20210128100749.0 cr unu---uuuuu 210128e20151201xx s 000 0 eng 10.1007/s10958-015-2618-8 doi (NATIONALLICENCE)springer-10.1007/s10958-015-2618-8 Popov A. M. V. Lomonosov Moscow State University, Moscow, Russia aut Development of the Valiron-Levin Theorem on the Least Possible Type of Entire Functions with a Given Upper ρ -Density of Roots [Elektronische Daten] [A. Popov] An entire function such that its roots have a given ρ-density and are located in an angle or on a ray is considered. For such a function, we solve the problem on the least possible type at order ρ. The case without assumptions about the location of the roots was considered by Valiron; the corresponding problem was completely solved by Levin. Springer Science+Business Media New York, 2015 Journal of Mathematical Sciences Springer US; http://www.springer-ny.com 211/4(2015-12-01), 579-616 1072-3374 211:4<579 2015 211 10958 https://doi.org/10.1007/s10958-015-2618-8 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/s10958-015-2618-8 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Popov A. M. V. Lomonosov Moscow State University, Moscow, Russia aut NATIONALLICENCE 773 0- Journal of Mathematical Sciences Springer US; http://www.springer-ny.com 211/4(2015-12-01), 579-616 1072-3374 211:4<579 2015 211 10958