On products of starlike functions. I
We deal with functions given by the formula where are starlike of order and are complex constants. In particular, radii of starlikeness and convexity as well as orders of starlikeness and convexity are found.
On pseudospheres that are quasispheres.
We construct bounded domains D not equal to a ball in n ≥ 3 dimensional Euclidean space, Rn, for which ∂D is homeomorphic to a sphere under a quasiconformal mapping of Rn and such that n - 1 dimensional Hausdorff measure equals harmonic measure on ∂D.
On Ptolemy's theorem.
On P-valent Analytic Functions With Reference to Bernardi and Ruscheweyh Integral Operators
On p-valent functions with negative and missing coefficients
On -homeomorphisms.
On quasiconformal mappings of open Riemann surfaces.
On quasiconformal reflection. (Zur quasikonformen Spiegelung.)
On quasi-convex functions and related topics.
On quasi-Hadamard product of certain classes of analytic functions.
On Quasiregualr Mappings and Domains with a Complete Conformal Metric.
On quasiregular polynomial mappings
On quasi-starlike functions
On radii of convexity and starlikeness of some classes of analytic functions.
On radii of starlikeness and convexity for convolutions of starlike functions.
On ratios of certain analytic functions
On realizability of sign patterns by real polynomials
The classical Descartes’ rule of signs limits the number of positive roots of a real polynomial in one variable by the number of sign changes in the sequence of its coefficients. One can ask the question which pairs of nonnegative integers , chosen in accordance with this rule and with some other natural conditions, can be the pairs of numbers of positive and negative roots of a real polynomial with prescribed signs of the coefficients. The paper solves this problem for degree polynomials.
On Rolle's theorem for polynomials over the complex numbers.
On Ruscheweyh derivatives
On Sakaguchi functions.