The space of entire in $\Bbb C{\,}^n $ functions
of bounded $L$-index (in Ukrainain)

M.T. Bordulyak

The properties of a space of entire in $\Bbb C{\,}^n $ functions of bounded $L$-index in Iyer's metric are investigated. It is shown that such space is of the first category.

1. Бордуляк М.Т., Шеремета М.М. Обмеженість $L$-індексу цілої функції багатьох змінних // Доп. АН України. Сер. А. 1993. № 9. с.10–13.

2. Кузык А.Д., Шеремета М.Н. Целые функции ограниченного $l$-распределения значений // Мат. заметки. 1986. т.39. № 1. с.3–13.

3. Ekblaw K.A. The functions of bounded index as a subspace of a space of entire functions // Pacific J. Math. 1971. V.37. P.353–355.

4. Clunie J. On entire functions having prescribed growth // Canad. J. Math. 1965. V.17. P.396–404.

	The space of entire in $\mathbb{C}^n$ functions of bounded $L$-index (in Ukrainain)
Author	M.T. Bordulyak Department of Mechanics and Mathematics, L'viv University, Universitetska 1, 290602, Ukraine
Abstract	The properties of a space of entire in $\Bbb C{\,}^n $ functions of bounded $L$-index in Iyer's metric are investigated. It is shown that such space is of the first category.
Keywords	entire functions, Iyer's metric, first category
DOI	doi:10.30970/ms.4.1.53-58
Reference	1. Бордуляк М.Т., Шеремета М.М. Обмеженість $L$-індексу цілої функції багатьох змінних // Доп. АН України. Сер. А. 1993. № 9. с.10–13. 2. Кузык А.Д., Шеремета М.Н. Целые функции ограниченного $l$-распределения значений // Мат. заметки. 1986. т.39. № 1. с.3–13. 3. Ekblaw K.A. The functions of bounded index as a subspace of a space of entire functions // Pacific J. Math. 1971. V.37. P.353–355. 4. Clunie J. On entire functions having prescribed growth // Canad. J. Math. 1965. V.17. P.396–404.
Pages	53-58
Volume	4
Issue	1
Year	1995
Journal	Matematychni Studii
Full text of paper	pdf
Table of content of issue	html

The space of entire in $\mathbb{C}^n$ functions of bounded $L$-index (in Ukrainain)