On certain multivalent functions with negative coefficients defined by using a differential operator
On certain multivalent starlike or convex functions with negative coefficients.
On certain properties of neighborhoods of multivalent functions involving the generalized Saitoh operator.
On certain properties of the class of generalized -valent non-Bazilevic functions.
On certain subclass of Bazilevič functions.
On certain subclass of close-to-convex functions.
On certain subclass of -valently Bazilevic functions.
On certain subclasses of analytic and univalent functions involving convolution operators.
On certain subclasses of analytic functions associated with the Carlson–Shaffer operator
The object of the present paper is to solve Fekete-Szegö problem and determine the sharp tipper bound to the second Hankel determinant for a certain class ℛλ(a, c, A, B) of analytic functions in the unit disk. We also investigate several majorization properties for functions belonging to a subclass ℛλ(a, c, A, B) of ℛλ(a,c, A, B) and related function classes. Relevant connections of the main results obtained here with those given by earlier workers on the subject are pointed out.
On certain subclasses of analytic functions involving a linear operator
A certain general class 𝓢(a,c,A,B) of analytic functions involving a linear operator is introduced. The objective is to investigate various properties and characteristics of this class. Several applications of the results (obtained here) to a class of fractional calculus operators are also considered. The results contain some of the earlier work in univalent function theory.
On certain subclasses of bounded univalent functions
Let = z ∈ ℂ; |z| < 1, T = z ∈ ℂ; |z|=1. Denote by S the class of functions f of the form f(z) = z + a₂z² + ... holomorphic and univalent in , and by S(M), M > 1, the subclass of functions f of the family S such that |f(z)| < M in . We introduce (and investigate the basic properties of) the class S(M,m;α), 0 < m ≤ M < ∞, 0 ≤ α ≤ 1, of bounded functions f of the family S for which there exists an open of length 2πα such that for every and for every .
On certain subclasses of meromorphic close-to-convex functions.
On certain subclasses of meromorphic functions with positive coefficients.
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.