7 papers
Necessary and sufficient conditions for zero subsets of holomorphic functions
B. N. Khabibullin, F. B. Khabibullin
Let be a domain in the complex plane, be an extended real function on . If is a non-zero holomorphic function on with an upper constraint on thi…
Zero sets of holomorphic functions in the unit ball: non-radial growth characteristics
B. N. Khabibullin, F. B. Khabibullin
Let be a nonzero holomorphic function in the unit ball of the -dimensional complex Euclidean space such that the function vanishes on the set $…
Zeros of holomorphic functions in the unit disk and -trigonometrically convex functions
Bulat N. Khabibullin, Farkhat B. Khabibullin
Let \/ be a subharmonic function with Riesz measure on the unit disk in the complex plane . Let be a nonzero holomorphic function on …
Subharmonic Versions of Valiron Theorem on Entire Functions
Bulat N. Khabibullin, Farkhat B. Khabibullin
We estimate the growth of the canonical integral of Hadamard-Weierstrass of measure of finite order on the complex plane by the type of counting function or average counting functi…
On uniqueness sets for spaces of holomorphic functions
B. N. Khabibullin, F. B. Khabibullin
In this article are improved and refined some of our results prior to our recent article from the journal "Russian Mathematics (Izvestiya VUZ. Matematika)" in 2015 at the expense o…
The order versions of the Hahn--Banach Theorem and envelopes. I. Homogeneous functions
Bulat Khabibullin, Alexei Rozit, Farkhat Khabibullin
We present here the General formulation of the problem of existence and construction of upper and lower envelope for an arbitrary function with values from the completion of the or…
Zero (sub-)sequences of entire functions
Bulat Khabibullin, Galiya Talipova, Farkhat Khabibullin
We announce conditions under which a given sequence of points on the complex plane is a subsequence of zeros of an entire function with weight restrictions on growth.