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This article is cited in 5 scientific papers (total in 5 papers)
The theorem on the least majorant and its applications. II. Entire and meromorphic functions of finite order
B. N. Khabibullin
Abstract:
Sharp estimates of the circular indicator and type are obtained for nonzero entire functions of minimal growth that are divisible by an entire function $F$ when the growth of the characteristics of the zero set of $F$ is known, and the problem of representing a meromorphic function $f$ on $\mathbf C^n$ as a quotient $f=g/h$ is solved with best possible estimates on the circular indicators and the type of the entire functions $g$ and $h$.
Received: 09.12.1991
Citation:
B. N. Khabibullin, “The theorem on the least majorant and its applications. II. Entire and meromorphic functions of finite order”, Izv. RAN. Ser. Mat., 57:3 (1993), 70–91; Russian Acad. Sci. Izv. Math., 42:3 (1994), 479–500
Linking options:
https://www.mathnet.ru/eng/im869https://doi.org/10.1070/IM1994v042n03ABEH001543 https://www.mathnet.ru/eng/im/v57/i3/p70
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Abstract page: | 319 | Russian version PDF: | 99 | English version PDF: | 13 | References: | 42 | First page: | 2 |
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