Geodesic
Uniqueness distributions for holomorphic functions with growth restrictions in the unit disc
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the Voronezh international spring mathematical school "Modern methods of the theory of boundary-value problems. Pontryagin readings—XXXV", Voronezh, April 26-30, 2024, Part 1, Tome 235 (2024), pp. 109-120

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We establish new uniqueness theorems for holomorphic functions in the unit disc with given subharmonic majorants for the logarithms of the modules of these holomorphic functions. The results are formulated in terms of distributions of zeros for these holomorphic functions and Riesz mass distributions for subharmonic majorants. They are based on the new scale of inequalities for Riesz mass distributions of subharmonic functions on the unit disc under given inequalities between these functions.
Keywords: holomorphic function, zero distribution, subharmonic function, Riesz mass distribution, uniqueness theorem, unit disc, convex functions 
@article{INTO_2024_235_a9,
     author = {B. N. Khabibullin},
     title = {Uniqueness distributions for holomorphic functions with growth restrictions in the unit disc},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
     pages = {109--120},
     publisher = {mathdoc},
     volume = {235},
     year = {2024},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTO_2024_235_a9/}
}
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B. N. Khabibullin. Uniqueness distributions for holomorphic functions with growth restrictions in the unit disc. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the Voronezh international spring mathematical school "Modern methods of the theory of boundary-value problems. Pontryagin readings—XXXV", Voronezh, April 26-30, 2024, Part 1, Tome 235 (2024), pp. 109-120. http://geodesic.mathdoc.fr/item/INTO_2024_235_a9/