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In this paper we prove several inclusion relations associated with) , ( n-neighborhood of certain subclasses of analytic functions of complex order with negative coefficients by making use of the familiar concept of neighborhoods of analytic functions. Special cases of some of these inclusion relations are shown to yield known results.
In the present paper, sharp upper bounds of |a 3 − μa 2 2 | for the functions f (z) = z + a 2 z 2 + a 3 z 3 + · · · belonging to a new subclass of Sak-aguchi type functions are obtained. Also, application of our results for subclass of functions defined by convolution with a normalized analytic function are given. In particular, Fekete-Szegö inequalities… (More)
An analytic function f is quasi-subordinate to an analytic function g, in the open unit disk if there exist analytic functions ϕ and w, with |ϕ(z)| ≤ 1, w(0) = 0 and |w(z)| < 1 such that f (z) = ϕ(z)g(w(z)). Certain subclass of analytic univalent functions associated with quasi-subordination are defined and the bounds for the Fekete-Szegö coefficient… (More)
In the present paper, we introduce two new subclasses B (k) λ (α) and L (k) λ (α) of analytic functions with respect to k-symmetric points. Some coefficient inequalities for functions belonging to these classes and their subclasses with positive coefficients are provided.
In the present paper, the authors introduce a new subclass C (k) (�, �, �) of close-to-convex functions with respect to k-symmetric points. The integral representations for this class are studied. Some coefficient inequalities for functions belonging to this class and their subclass with negative coefficients are also provided.
Estimates on the initial coefficients are obtained for normalized analytic functions f in the open unit disk with f and its inverse g = f −1 satisfying the conditions that zf (z)/f (z) and zg (z)/g(z) are both subordinate to a starlike univalent function whose range is symmetric with respect to the real axis. Several related classes of functions are also… (More)
A 41-year-old woman presented with sudden progressive loss of vision in the right eye since 10 days and frontal headache since 5 days. Patient had no history of any trauma, vomiting and seizures. After Patient's ophthalmologic, neurosurgery evaluation was diagnosed to have Tuberculum sellae meningioma which caused vision loss. After surgery, patient's best… (More)