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This article is cited in 1 scientific paper (total in 1 paper)
A relationship between the maximum modulus and Taylor coefficients of entire functions of several complex variables
Yu. F. Korobeinik Rostov State University
Abstract:
We present results on the relationship between the growth of the maximum modulus and the decay of Taylor coefficients of entire functions of several variables. The results are obtained by two different methods, the first of which had been proposed earlier by Oskolkov for the one-dimensional case, and the second is based on the use of the Legendre–Jung–Fenchel conjugates of the weight functions. Attention is mainly paid to the characterization of the growth of entire functions with respect to the conjunction of variables; however, some results are obtained for the case in which there is different growth with respect to different variables.
Received: 27.06.1995
Citation:
Yu. F. Korobeinik, “A relationship between the maximum modulus and Taylor coefficients of entire functions of several complex variables”, Mat. Zametki, 62:2 (1997), 238–258; Math. Notes, 62:2 (1997), 198–215
Linking options:
https://www.mathnet.ru/eng/mzm1608https://doi.org/10.4213/mzm1608 https://www.mathnet.ru/eng/mzm/v62/i2/p238
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Abstract page: | 501 | Full-text PDF : | 234 | References: | 124 | First page: | 1 |
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