| Title | Рост целых функций, обращающихся в ноль на аналитическом множестве |
| Publication Type | Journal Article |
| Year of Publication | 1998 |
| Authors | Mitreva M |
| Journal | Annuaire de l’Université de Sofia “St. Kliment Ohridski”. Faculté de Mathématiques et Informatique |
| Volume | 90 |
| Issue | Livre 1 - Mathématiques et Mecanique |
| Pagination | 133-138 |
| ISSN | 0205-0808 |
| Keywords | bounds on the growth, entire functions |
| Abstract | Left $f$ be an entire function in $\mathbb{C}^{n}$, $V$ be the set of its zeroes, and $n_{f}(z', z_{n})$ be the number of zeroes of $f(z', z_{n})$ in the circle $|z_{n}| \leq t$. We construct an entire function $F$ such that $F$ vanishes on $V$ and its growth is estimated in terms of $n_{f}(z',t)$ |
| 1991/95 MSC | 32A15 |
| Attachment | Size |
|---|---|
 90-133-138.pdf | 436.21 KB |