The classes of univalent functions connected with homographies
We define some new classes of univalent functions. The Schiffer differential equations are obtained for extremal functions from some of these classes.
The classical and the modified Neumann problems for the inhomogeneous pluriholomorphic system in polydiscs.
The classification of punctured-torus groups.
The cliff of a Taylor polynomial. (La falaise d'un polynôme de Taylor.)
The coefficient problem for functions with positive real part in a finitely connected domain
The coefficients of quasiconformality of tori in n-space.
The coefficients of the Laurent expansion of analytic functions
The cohomology solution and the index theorem on ring surfaces of genus .
The complement of a quasimöbius sphere is uniform.
The cone of nonnegative polynomials with nonnegative coefficients and linear operators preserving this cone
Let be the cone of real univariate polynomials of degree ≤ 2n which are nonnegative on the real axis and have nonnegative coefficients. We describe the extremal rays of this convex cone and the class of linear operators, acting diagonally in the standard monomial basis, preserving this cone.
The conformal structure of Riemann surfaces with boundary parametrizing minimal surfaces.
The construction of a function given by moments. (La construction de quelque fonction par des moments donnés.)
The Corona Theorem for Matrices.
The covering radius of a mapping and the multiplicity of a covering.
The critical strips of the sums .
The deficiency of entire functions with Fejér gaps
We say that an entire function has Fejér gaps if The main result of this paper is as follows: An entire function with Fejér gaps has no finite deficient value.
The Degree of Approximation by Rational Functions with Fixed Poles.
The degree of convergence for entire functions of slow growth
The density at infinity of a discrete group of hyperbolic motions
The derivatives of a meromorphic function and Nevanlinna's deficient values.