On classes of uniformly starlike and convex functions with negative coefficients.
On classes of uniformly starlike functions
We geometrically define subclasses of starlike functions related to the class of uniformly starlike functions introduced by A. W. Goodman in 1991. We give an analytic characterization of these classes, some radius properties, and examples of functions in these classes. Our classes generalize the class of uniformly starlike functions, and many results of Goodman are special cases of our results.
On Clenshaws's Method and a Generalisation to Faber Series.
On Clifford-type structures [Book]
On close-to-convex for certain integral operators.
On Close-to-convex Functions
On close-to-convex functions of complex order.
On cluster sets of arbitrary functions
On coefficient bounds of a certain class of p-valent -spiral functions of order .
On Coefficient Estimates and Conjectures for the Class ... .
On coefficient inequalities in the Carathéodory class of functions
Some inequalities are proved for coefficients of functions in the class P(α), where α ∈ [0,1), of functions with real part greater than α. In particular, new inequalities for coefficients in the Carathéodory class P(0) are given.
On coefficients, boundary size and Hölder domains.
On commutativity and ovals for a pair of symmetries of a Riemann surface
We study the upper bounds for the total number of ovals of two symmetries of a Riemann surface of genus g, whose product has order n. We show that the natural bound coming from Bujalance, Costa, Singerman and Natanzon's original results is attained for arbitrary even n, and in case of n odd, there is a sharper bound, which is attained. We also prove that two (M-q)- and (M-q')-symmetries of a Riemann surface X of genus g commute for g ≥ q+q'+1 (by (M-q)-symmetry we understand a symmetry having g+1-q...
On compact Klein surfaces with a special automorphism group.
On compact Riemann surfaces with a maximal number of automorphisms.
On completeness with respect to a Carathéodory-like metric
On complexification and iteration of quasiregular polynomials which have algebraic degree two
We prove that each degree two quasiregular polynomial is conjugate to Q(z) = z² - (p+q)|z|² + pqz̅² + c, |p| < 1, |q| < 1. We also show that the complexification of Q can be extended to a polynomial endomorphism of ℂℙ² which acts as a Blaschke product (z-p)/(1-p̅z) · (z-q)/(1-q̅z) on ℂℙ²∖ℂ². Using this fact we study the dynamics of Q under iteration.
On composition of meromorphic functions in several complex variables.
On conformal dilatation in space.
On Conformal Mappings with Derivative in VMOA.