On subordination and superordination of the multiplier transformation for meromorphic functions.
On subordination for classes of non-Bazilevič type
We give some subordination results for new classes of normalized analytic functions containing differential operator of non-Bazilevič type in the open unit disk. By using Jack's lemma, sufficient conditions for this type of operator are also discussed.
On subordination of certain subclass of analytic functions.
On subordinations for certain multivalent analytic functions associated with the generalized hypergeometric function.
On sufficient conditions and angular properties of starlikeness and convexity for the class of multivalent Bazilević functions.
On the asymptotic Bieberbach conjecture.
On the bounds of multivalently starlikeness and convexity.
On the class of functions defined in a halfplane and starlike with respect to the boundary point
The purpose of this paper is to study the class of univalent analytic functions defined in the right halfplane ℍ and starlike w.r.t. the boundary point at infinity. An analytic characterization of functions in is presented.
On the class of functions strongly starlike of order α with respect to a point
We consider the class 𝓩(k;w), k ∈ [0,2], w ∈ ℂ, of plane domains Ω called k-starlike with respect to the point w. An analytic characterization of regular and univalent functions f such that f(U) is in 𝓩(k;w), where w ∈ f(U), is presented. In particular, for k = 0 we obtain the well known analytic condition for a function f to be starlike w.r.t. w, i.e. to be regular and univalent in U and have f(U) starlike w.r.t. w ∈ f(U).
On the coefficient bodies of meromorphic univalent functions omitting a disc
Let S(b) be the class of bounded normalized univalent functions and Σ(b) the class of normalized univalent meromorphic functions omitting a disc with radius b. The close connection between these classes allows shifting the coefficient body information from the former to the latter. The first non-trivial body can be determined in Σ(b) as well as the next one in the real subclass .
On the coefficient domains of univalent functions.
On The Coefficient Structure And A Growth Theorem For The Functions f(z) For Which zf'(z) Is Spirallike
On the coefficients of bounded real univalent functions
On the coefficients of some classes of starlike functions
On the coefficients of starlike functions of some classes
On The Convex Sum Of Certain Univalent Functions And The Identity Function.
On the convolution of analytic functions.
On the definition of a close-to-convex function.
On the derivative of hyperbolically convex functions.
On the extreme points of some classes of holomorphic functions.