13 citations · 74 across the 70 of their papers we have counts for
12 papers · 1 filter
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…
Liouville-type theorems with constraints outside of small sets on circles or spheres for functions of finite order
Bulat N. Khabibullin
We prove that subharmonic functions of finite order on finite dimensional real space, bounded from above outside of some asymptotically small sets on spheres, are bounded from abov…
Liouville-type theorems outside of small exceptional sets for functions of finite order
Bulat N. Khabibullin
We prove that convex functions of finite order on the real line and subharmonic functions of finite order on finite dimensional real space, bounded from above outside of some set o…
Integrals of subharmonic functions and their differences with weight over small sets on a ray
Bulat N. Khabibullin
Let be a measurable subset in a segment in the positive part of the real axis in the complex plane, and be the difference of subharmonic functions $u\not\equiv…
To the Liouville theorem for entire functions of finite order
Bulat N. Khabibullin
We present a new, short and independent proof of the Liouville-type theorem for entire and subharmonic functions of finite order bounded outside some set of zero planar density.
Balayage of Measures on the Complex Plane with respect to Harmonic Polynomials and Logarithmic Kernels
B. N. Khabibullin, E. B. Menshikova
Balayage of measures with respect to classes of all subharmonic or harmonic functions on an open set of a plane or finite-dimensional Euclidean space is one of the main objects of…