Development of the Valiron-Levin Theorem on the Least Possible Type of Entire Functions with a Given Upper ρ -Density of Roots
Gespeichert in:
Verfasser / Beitragende:
[A. Popov]
Ort, Verlag, Jahr:
2015
Enthalten in:
Journal of Mathematical Sciences, 211/4(2015-12-01), 579-616
Format:
Artikel (online)
Online Zugang:
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| 100 | 1 | |a Popov |D A. |u M. V. Lomonosov Moscow State University, Moscow, Russia |4 aut | |
| 245 | 1 | 0 | |a Development of the Valiron-Levin Theorem on the Least Possible Type of Entire Functions with a Given Upper ρ -Density of Roots |h [Elektronische Daten] |c [A. Popov] |
| 520 | 3 | |a 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. | |
| 540 | |a Springer Science+Business Media New York, 2015 | ||
| 773 | 0 | |t Journal of Mathematical Sciences |d Springer US; http://www.springer-ny.com |g 211/4(2015-12-01), 579-616 |x 1072-3374 |q 211:4<579 |1 2015 |2 211 |o 10958 | |
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| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s10958-015-2618-8 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 100 |E 1- |a Popov |D A. |u M. V. Lomonosov Moscow State University, Moscow, Russia |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Journal of Mathematical Sciences |d Springer US; http://www.springer-ny.com |g 211/4(2015-12-01), 579-616 |x 1072-3374 |q 211:4<579 |1 2015 |2 211 |o 10958 | ||