On certain subclasses of meromorphically multivalent functions associated with the generalized hypergeometric function.
On certain subclasses of meromorphically -valent functions associated by the linear operator .
On certain subclasses of multivalently meromorphic close-to-convex maps
Let Mₚ denote the class of functions f of the form , p a positive integer, in the unit disk E = |z| < 1, f being regular in 0 < |z| < 1. Let , α < 1, where . Results on are derived by proving more general results on differential subordination. These results reduce, by putting p =1, to the recent results of Al-Amiri and Mocanu.
On certain sufficient conditions for starlikeness.
On certain univalence criteria
On certain univalent class associated with functions of non-Bazilevič type
On classes of functions in the unit disk.
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 close-to-convex for certain integral operators.
On Close-to-convex Functions
On close-to-convex functions of complex order.
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 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 conformal dilatation in space.
On Conformal Mappings with Derivative in VMOA.
On conformal maps with starlike images.