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This article is cited in 22 scientific papers (total in 22 papers)
Zero sequences of holomorphic functions, representation of meromorphic functions. II. Entire functions
B. N. Khabibullinab a Institute of Mathematics with Computing Centre, Ufa Science Centre, Russian Academy of Sciences
b Bashkir State University, Faculty of Mathematics
Abstract:
Let Λ={λk}Λ={λk} be a sequence of points in the complex plane C and f a non-trivial entire function of finite order ρ and finite type σ such that f=0 on Λ. Upper
bounds for functions such as the Weierstrass-Hadamard canonical product of order ρ constructed from the
sequence Λ are obtained. Similar bounds for meromorphic functions are also derived. These results are used to estimate the radius of completeness of a system of exponentials in C.
Bibliography: 26 titles.
Keywords:
function, zero sequence, subharmonic function, radius of completeness, system of exponentials.
Received: 22.05.2007 and 12.08.2008
Citation:
B. N. Khabibullin, “Zero sequences of holomorphic functions, representation of meromorphic functions. II. Entire functions”, Sb. Math., 200:2 (2009), 283–312
Linking options:
https://www.mathnet.ru/eng/sm3885https://doi.org/10.1070/SM2009v200n02ABEH003996 https://www.mathnet.ru/eng/sm/v200/i2/p129
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Abstract page: | 1337 | Russian version PDF: | 431 | English version PDF: | 55 | References: | 156 | First page: | 25 |
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