Certain Applications of Differential Subordination
Certain Classes Of Univalent Analitic Functions.
Certain coefficient inequalities for Sakaguchi type functions and applications to fractional derivative operator.
Certain results on multivalent functions involving Wright hypergeometric functions.
Certain second order linear differential subordinations.
Certain sufficient conditions for univalence.
Characterization and subordination properties associated with a certain class of functions.
Coefficient bounds for meromorphic starlike and convex functions.
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...