On the Ritt order of a certain class of functions.
On the scalar curvature of self-dual manifolds.
On the sense preserving mappings in the Helm topology in the plane
∗Research supported by the grant No. GAUK 186/96 of Charles University.We introduce the helm topology in the plane. We show that (assuming the helm local injectivity and the Euclidean continuity) each mapping which is oriented at all points of a helm domain U is oriented at U.
On the set of values of the system in the class of typically real functions.
On the shape of Bers-Maskit slices.
On the shared values of entire functions and their partial differential polynomials in Cn*.
On the sharp constant for starlikeness.
On the sharpness of the Stolz approach.
On the shifted QR iteration applied to companion matrices.
On the Singularities of Functions with Values in a Clifford Algebra.
On the singularities of the inverse to a meromorphic function of finite order.
Our main result implies the following theorem: Let f be a transcendental meromorphic function in the complex plane. If f has finite order ρ, then every asymptotic value of f, except at most 2ρ of them, is a limit point of critical values of f.We give several applications of this theorem. For example we prove that if f is a transcendental meromorphic function then f'fn with n ≥ 1 takes every finite non-zero value infinitely often. This proves a conjecture of Hayman. The proof makes use of the iteration...
On the Size of Balls Covered by Analytic Transformations.
On the size of the exceptional set in Nevanlinna's second fundamental theorem for meromorphic functions in the unit disc.
On the Space of Analytic Functions of Logarithmic Type t
On the spectral Nevanlinna-Pick problem
We give several characterizations of the symmetrized n-disc Gₙ which generalize to the case n ≥ 3 the characterizations of the symmetrized bidisc that were used in order to solve the two-point spectral Nevanlinna-Pick problem in ℳ ₂(ℂ). Using these characterizations of the symmetrized n-disc, which give necessary and sufficient conditions for an element to belong to Gₙ, we obtain necessary conditions of interpolation for the general spectral Nevanlinna-Pick problem. They also allow us to give a...
On the Spherical Derivative of a Meromorphic Function with a Valiron Deficient Value.
On the Spherical Derivative of an Entire Function.
On the stability by convolution product of a resurgent algebra
We consider the space of holomorphic functions at the origin which extend analytically on the universal covering of , . We show that this space is stable by convolution product, thus is a resurgent algebra.
On the strongly starlikeness of multivalently convex functions of order .
On the Structure of the Automorphism Group of a Compact Klein Surface with N Boundary Components (1 < N < 4).