On certain generalized class of non-Bazilevich functions.
On certain generalized close-to-star functions in the unit disc
On certain harmonic measures on the unit disk
On certain inequalities for some regular functions in .
On certain inequalities of integral type for some regular functions
On certain linear operator defined by basic hypergeometric functions
On certain meromorphic functions with positive coefficients.
On certain multivalent functions.
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.