On the Derivative of Some Analytic Functions.
On the Derivative of the Riemann Mapping Function Near a Boundary Point and the Visser-Ostrowski Problem.
On the determinant of the bundle of meromorphic quadratic differentials on the Deligne-Mumford compactification of the moduli space of Riemann surfaces.
On the diametral dimension of weighted spaces of analytic germs
We prove precise estimates for the diametral dimension of certain weighted spaces of germs of holomorphic functions defined on strips near ℝ. This implies a full isomorphic classification for these spaces including the Gelfand-Shilov spaces and for α > 0. Moreover we show that the classical spaces of Fourier hyperfunctions and of modified Fourier hyperfunctions are not isomorphic.
On The Difference Of The Number Of Zeros And Poles Of The Members Of Convergent Sequences Of Meromorphic Functions
On the differences of simultaneous rational interpolants
On the differentiability of T(r,f).
On the dimension of limit sets of geometrically finite Möbius groups.
On the disc theorem
Ahlfors' disc theorem for Riemann covering surfaces is extended to normally exhaustible Klein coverings.
On the distribution of the number of real zeros of a random polynomial.
On the Distribution of Tsuji Points.
On the distribution of zeros of exponential polynomials
On the dynamics of polynomial-like mappings
On the dynamics of pseudo-Anosov homeomorphisms on representation varieties of surface groups.
On the dynamics of rational maps
On the equivalence of Hille's and Robinson's functional equations
On the estimate of the fourth-order homogeneous coefficient functional for univalent functions
The functional |c₄ + pc₂c₃ + qc³₂| is considered in the class of all univalent holomorphic functions in the unit disk. For real values p and q in some regions of the (p,q)-plane the estimates of this functional are obtained by the area method for univalent functions. Some new regions are found where the Koebe function is extremal.
On the exceptional set in Nevanlinna's second fundamental theorem in the unit disc.
A general example of an analytic function in the unit disc possessing an exceptional set in Nevanlinna’s second fundamental theorem is built. It is used to show that some conditions on the size of the exceptional set are sharp, extending analogous results for meromorphic functions in the plane.
On the existence of extremal Teichmüller mappings.
On the existence of Jenkins-Strebel differentials using harmonic maps from surfaces to graphs.