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This article is cited in 17 scientific papers (total in 17 papers)
A majoration principle for meromorphic functions
V. N. Dubinin, S. I. Kalmykov Institute of Applied Mathematics, Far-Eastern Branch of the Russian Academy of Sciences
Abstract:
A new majoration principle for meromorphic functions with
prescribed poles is considered. Covering and distortion results
for rational functions and polynomials are consequences of this
principle. In particular, a simple proof of a Bernstein-type inequality
for rational functions on several intervals is presented.
Bibliography: 17 titles.
Received: 16.04.2007 and 28.06.2007
Citation:
V. N. Dubinin, S. I. Kalmykov, “A majoration principle for meromorphic functions”, Sb. Math., 198:12 (2007), 1737–1745
Linking options:
https://www.mathnet.ru/eng/sm3858https://doi.org/10.1070/SM2007v198n12ABEH003903 https://www.mathnet.ru/eng/sm/v198/i12/p37
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Abstract page: | 1041 | Russian version PDF: | 265 | English version PDF: | 29 | References: | 89 | First page: | 10 |
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