Inclusion and neighborhood properties of certain subclasses of analytic and multivalent functions of complex order.
Inclusion and neighborhood properties of certain subclasses of p -valent functions of complex order defined by convolution
In this paper we introduce and investigate three new subclasses of p-valent analytic functions by using the linear operator Dmλ,p(f * g)(z). The various results obtained here for each of these function classes include coefficient bounds, distortion inequalities and associated inclusion relations for (n, θ)-neighborhoods of subclasses of analytic and multivalent functions with negative coefficients, which are defined by means of a non-homogenous differential equation.
Inclusion and neighborhood properties of some analytic and multivalent functions.
Inclusion Properties for Certain Classes of Analytic Functions Involving a Family of Fractional Integral Operators
2000 Math. Subject Classification: 30C45A known family of fractional integral operators is used here to define some new subclasses of analytic functions in the open unit disk U. For each of these new function classes, several inclusion relationships are established.
Inclusion properties for certain classes of meromorphic functions associated with a family of linear operators.
Inclusion properties for certain subclasses of analytic functions associated with the Dziok-Srivastava operator.
Inclusion properties for certain subclasses of analytic functions defined by a linear operator.
Inclusion properties of certain subclass of analytic functions defined by multiplier transformations
Let A denote the class of analytic functions with normalization [...] in the open unit disk [...] Set [...] and define [...] in terms of the Hadamard product [...] In this paper, we introduce several new subclasses of analytic functions defined by means of the operator [...] [...] .Inclusion properties of these classes and the classes involving the generalized Libera integral operator are also considered.
Inclusion properties of certain subclasses of analytic functions defined by generalized Sălăgean operator
Let A denote the class of analytic functions with the normalization f(0) = f'(0) - 1 = 0 in the open unit disc U = {z : |z| < 1}. Set [...] and define ∞nλ, μ in terms of the Hadamard product [...] . In this paper, we introduce several subclasses of analytic functions defined by means of the operator Inλ, μ A → A, given by [...] . Inclusion properties of these classes and the classes involving the generalized Libera integral operator are also considered.
Inclusion relations between classes of hypergeometric functions.
Inclusion relationships between classes of functions defined by subordination
The purpose of the present paper is to investigate various inclusion relationships between several classes of analytic functions defined by subordination. Many interesting applications involving the well-known classes of functions defined by linear operators are also considered.
Inequalities concerning starlike functions and their -th root.
Inequalities defining certain subclasses of analytic and multivalent functions involving fractional calculus operators.
Inequalities involving a class of analytic functions
Inequalities involving multipliers for multivalent harmonic functions.
Inequalities of Grunsky-Nehari type for pairs of vector functions
Initial coefficients for generalized subclasses of bi-univalent functions defined with subordination
This paper is concerned with certain generalized subclasses of bi-univalent functions defined with subordination in the open unit disc . The bounds for the initial coefficients for the functions in these classes are studied. The earlier known results follow as special cases.
Initial Maclaurin coefficient estimates for -pseudo-starlike bi-univalent functions associated with Sakaguchi-type functions
We introduce and study two certain classes of holomorphic and bi-univalent functions associating -pseudo-starlike functions with Sakaguchi-type functions. We determine upper bounds for the Taylor–Maclaurin coefficients and for functions belonging to these classes. Further we point out certain special cases for our results.
Injectivity of sections of convex harmonic mappings and convolution theorems
We consider the class of sense-preserving harmonic functions defined in the unit disk and normalized so that and , where and are analytic in the unit disk. In the first part of the article we present two classes and of functions from and show that if and , then the harmonic convolution is a univalent and close-to-convex harmonic function in the unit disk provided certain conditions for parameters and are satisfied. In the second part we study the harmonic sections (partial...
Integral means and arc length of starlike log-harmonic mappings.