Some results on normal family of meromorphic functions.
Some results on Qp spaces, 0 < p < 1.
Some results on value distribution of meromorphic functions.
Some unsolved problems on meromorphic functions of uniformly bounded characteristic.
The basic properties of Bloch functions.
The effect of the rotation group on the behaviour of a rotation automorphic function.
The extremum problem for analytic functions with finite area integral.
The Fatou and Julia sets of multivalued analytical functions.
The mapping class group of a generic quadratic rational map and automorphisms of the 2-shift.
The order of normality and meromorphic univalent functions
The Taylor series and growth of means.
Über die Gauss-Krümmung der Real- und Imaginärteilflächen analytischer Funktionen.
Unbounded functions in the unit disc.
Uniformly wiggly domains and radial variation.
Uniqueness theorems and normal families of entire functions and their derivatives
We use the theory of normal families to obtain some uniqueness theorems for entire functions, which improve and generalize the related results of Rubel and Yang, and Li and Yi. Some examples are provided to show the sharpness of our results.
Universal sequences for Zalcman’s Lemma and -normality
We prove the existence of sequences , ϱₙ → 0⁺, and , |zₙ| = 1/2, such that for every α ∈ ℝ and for every meromorphic function G(z) on ℂ, there exists a meromorphic function on ℂ such that converges to G(ζ) uniformly on compact subsets of ℂ in the spherical metric. As a result, we construct a family of functions meromorphic on the unit disk that is -normal for no m ≥ 1 and on which an extension of Zalcman’s Lemma holds.
Use of logarithmic sums to estimate polynomials.
Value distribution of meromorphic functions concerning differential polynomial.
К теореме Н.Левинсона о нормальных семействах аналитических функций
Круги однолистности гармонических локально квазиконформных отображений и гармонические функции Блоха.