Geodesic
A relationship between the maximum modulus and Taylor coefficients of entire functions of several complex variables
Matematičeskie zametki, Tome 62 (1997) no. 2, pp. 238-258 
Yu. F. Korobeinik. A relationship between the maximum modulus and Taylor coefficients of entire functions of several complex variables. Matematičeskie zametki, Tome 62 (1997) no. 2, pp. 238-258. http://geodesic.mathdoc.fr/item/MZM_1997_62_2_a7/
@article{MZM_1997_62_2_a7,
     author = {Yu. F. Korobeinik},
     title = {A relationship between the maximum modulus and {Taylor} coefficients of entire functions of several complex variables},
     journal = {Matemati\v{c}eskie zametki},
     pages = {238--258},
     year = {1997},
     volume = {62},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1997_62_2_a7/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

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.

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