An Area Method for Systems of Univalent Functions Whose Ranges do not Overlap.
An Asymptotic Formula for the Derivatives of Orthogonal Polynomials of the Unit Circle.
An axiomatization of Nesterenko's method and applications on Mahler functions II
An earthquake version of the Jackson-Zygmund theorem.
An Egoroff-type theorem for set-valued measurable functions.
An elementary formula for the Fenchel-Nielsen twist.
An entire function sharing a polynomial with its linear differential polynomial
We study the uniqueness of entire functions which share a polynomial with their linear differential polynomials.
An entire function sharing one small entire function with its derivative.
An equality for the curvature function of a simple and closed curve on the plane.
An equivalent property to Ivory's theorem from the standpoint of conformal mapping
An Estimate for Meromorphic Functions with Finite Spherical Surface Area Satisfying a Minimum Modulus Condition.
An estimate for the Dirichlet series in a half-strip in the case of the irregular distribution of exponents. II.
An estimate for the Dirichlet series with Fejér gaps on the real axis.
An estimate from below for the Markov constant of a Cantor repeller
An example concerning analytic functions with finite Dirichlet integrals
An example for the holomorphic sectional curvature of the Bergman metric
We study the behaviour of the holomorphic sectional curvature (or Gaussian curvature) of the Bergman metric of planar annuli. The results are then utilized to construct a domain for which the curvature is divergent at one of its boundary points and moreover the upper limit of the curvature at that point is maximal possible, equal to 2, whereas the lower limit is -∞.
An example of a Bloch function.
An example of a maximal unimodular Dirichlet algebra.
An example of an arithmetic Fuchsian group.
An example of degeneration on the noded Schottky space.
In these notes we construct explicit examples of degenerations on the noded Schottky space of genus g ≥ 3. The particularity of these degenerations is the invariance under the action of a dihedral group of order 2g. More precisely, we find a two-dimensional complex manifold in the Schottky space such that all groups (including the limit ones in the noded Schottky space) admit a fixed topological action of a dihedral group of order 2g as conformal automorphisms.