On multivalent functions of large growth in two directions.
On neighbourhoods of univalent starlike functions
On polynomial expansion of multivalent functions.
On radii of starlikeness and convexity for convolutions of starlike functions.
On Some Correspondence between Holomorphic Functions in the Unit Disc and Holomorphic Functions in the Left Halfplane
We study a correspondence L between some classes of functions holomorphic in the unit disc and functions holomorphic in the left halfplane. This correspondence is such that for every f and w ∈ ℍ, exp(L(f)(w)) = f(expw). In particular, we prove that the famous class S of univalent functions on the unit disc is homeomorphic via L to the class S(ℍ) of all univalent functions g on ℍ for which g(w+2πi) = g(w) + 2πi and .
On some new properties of the spherical curvature of stereographically projected analytic curves.
On some simple sufficient conditions for univalence
In this paper some simple conditions on and which lead to some subclasses of univalent functions will be considered.
On the asymptotic values of locally univalent meromorphic functions.
On the Boundary Derivative for Univalent Functions.
On the estimate of the fourth-order homogeneous coefficient functional for univalent functions
The functional |c₄ + pc₂c₃ + qc³₂| is considered in the class of all univalent holomorphic functions in the unit disk. For real values p and q in some regions of the (p,q)-plane the estimates of this functional are obtained by the area method for univalent functions. Some new regions are found where the Koebe function is extremal.
On the Fekete-Szegö problem for some subclasses of analytic functions.
On the law of iterated logarithm for Bloch functions
On the subclass of Salagean-type harmonic univalent functions.
On the unified class of functions of complex order involving Dziok-Srivastava operator.
On typically real functions which are generated by a fixed typically real function
Let be the family of all typically real functions, i.e. functions that are analytic in the unit disk , normalized by and such that for . In this paper we discuss the class defined as We determine the sets and . Moreover, for a fixed , we determine the superdomain of local univalence of , the radii of local univalence, of starlikeness and of univalence of .
On Univalent Functions, Bloch Functions and VMOA.
On univalent integral operator.
On values omitted by univalent functions with two pre-assigned values
Planar harmonic univalent and related mappings.
Properties of Some Extremal Nonvanishing Univalent Functions.