In the present paper, we investigate the majorization properties for certain classes of multivalent analytic functions defined by the Salagean operator. Moreover, we point out some new and interesting consequences of our main result. MSC: 30C45
Abstract. In the present paper, we introduce some generalized k-uniformly convex harmonic functions with negative coefficients. Sufficient coefficient conditions, distortion bounds, extreme points, Hadamard product and partial sum for functions of these classes are obtained.
In this paper, a new subclass has been defined as Ω of the univalent function in D={z∈C:|z|<1}. The central goal of this paper is to determine estimates for logarithmic coefficients, inverse logarithmic coefficients, some cases of the Hankel determinant and Zalcman functionals Jn,m of inverse functions.
The purpose of this paper is to obtain some further properties including coefficients estimates, majorization problems, distortion bounds, extreme points and radius of close-to-convexity, starlikeness and convexity for functions belonging to the class T U γ (φ, ψ; α, A, B), which are defined by Hadamard products with varying argument.
LetN be the class of functions that convex in one direction and M denote the class of functions zf′(z), where f∈N. In the paper, the third-order Hankel determinants for these classes are estimated. The estimates of H3,1(f) obtained in the paper are improved.
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