Coefficient estimates and subordination properties associated with certain classes of functions.
Conformal Mappings onto Prescribed Regions via Optimization Techniques.
Connectedness of the Carathéodory discs for doubly connected domains
We prove that the Carathéodory discs for doubly connected domains in the complex plane are connected.
Contractive curves.
Convex combination of analytic functions
Radii of convexity, starlikeness, lemniscate starlikeness and close-to-convexity are determined for the convex combination of the identity map and a normalized convex function F given by f(z) = α z+(1−α)F(z).
Convex functions in a half-plane. II.
Convolution and differential subordination.
Convolution conditions for spirallikeness and convex spirallikeness of certain meromorphic -valent functions.
Criteria for univalence, starlikeness and convexity
Let 𝓐 denote the class of all normalized analytic functions f (f(0) = 0 = f'(0)-1) in the open unit disc Δ. For 0 < λ ≤ 1, define 𝓤(λ) = {f ∈ 𝓐 : |(z/f(z))²f'(z) - 1| < λ, z ∈ Δ} and 𝓟(2λ) = f ∈ 𝓐 : |(z/f(z))''| < 2λ, z ∈ Δ.cr Recently, the problem of finding the starlikeness of these classes has been considered by Obradović and Ponnusamy, and later by Obradović et al. In this paper, the authors consider the problem of finding the order...
Differential sandwich theorems for multivalent functions
In the present paper, we apply methods based on differential subordinations and superordinations in order to derive several subordination results for multivalent functions involving the Hadamard product.
Differential sandwich theorems for some subclasses of analytic functions involving a linear operator.
Differential subordination and meromorphic functions
Differential subordination and superordination of analytic functions defined by certain integral operator.
Differential subordination and superordination with multiplier transformation.
Differential subordination defined by Sălăgean operator.
Differential subordinations and superordinations for analytic functions defined by the Dziok-Srivastava linear operator.
Differential subordinations associated with multiplier transformations.
Differential subordinations defined by using Sălăgean differential operator at the class of meromorphic functions.
Differential subordinations for certain analytic functions missing some coefficients.
Differential superordination defined by Sălăgean operator.