On the support of the equilibrium measure for arcs of the unit circle and for real intervals.
On the supremum of random Dirichlet polynomials
We study the supremum of some random Dirichlet polynomials , where (εₙ) is a sequence of independent Rademacher random variables, the weights (dₙ) are multiplicative and 0 ≤ σ < 1/2. Particular attention is given to the polynomials , , P⁺(n) being the largest prime divisor of n. We obtain sharp upper and lower bounds for the supremum expectation that extend the optimal estimate of Halász-Queffélec, . The proofs are entirely based on methods of stochastic processes, in particular the metric...
On the tangent space to the universal Teichmüller space.
On the Taylor coefficients of the composition of two analytic functions.
On the theorem of de Franchis
On the theory of Riemann's Integrals
On the topological type of anticonformal square roots of automorphisms of Riemann surfaces.
On the traces of Sobolev functions on the boundary of a cusp with a Hölder singularity.
On the trajectories of a quadratic differential, I.
On the two questions of Lohwater and Piranian.
On the two-dimensional moment problem.
On the type of highly integer valued entire functions.
On the unified class of functions of complex order involving Dziok-Srivastava operator.
On the Uniform Convergence of Gaussian Quadrature Rules for Cauchy Principal Value Integrals.
On the uniqueness of a power of a meromorphic function sharing a small function with the power of its derivative
In the paper we discuss the uniqueness of the -th power of a meromorphic function sharing a small function with the power of its -th derivative and improve and supplement a result of Zhang-Lü [Complex Var. Elliptic Equ. 53 (2008), no. 9, 857–867]. We also rectify one recent result obtained by Chen and Zhang in [Kyungpook Math. J. 50 (2010), no. 1, 71–80] dealing with a question posed by T.D. Zhang and W.R. Lü in [Complex Var. Elliptic Equ. 53 (2008), no. 9, 857–867].
On the uniqueness of an entire function sharing a small entire function with some linear differential polynomial
We prove a theorem on the growth of nonconstant solutions of a linear differential equation. From this we obtain some uniqueness theorems concerning that a nonconstant entire function and its linear differential polynomial share a small entire function. The results in this paper improve many known results. Some examples are provided to show that the results in this paper are the best possible.
On the uniqueness of meromorphic functions sharing three weighted values
On the uniqueness of meromorphic functions that share three sets
With the aid of the notion of weighted sharing and pseudo sharing of sets we prove three uniqueness results on meromorphic functions sharing three sets, all of which will improve a result of Lin-Yi in Complex Var. Theory Appl. (2003).
On the uniqueness of sequential limits of quasiconformal mappings.
On the univalence criterion of a general integral operator.