[PDF] Top 20 On the definition of a close to convex function
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On the definition of a close to convex function
... the extremal solution of a coefficient problem to omit an open set when there are.. competing functions such as Fz in the same class that do not omit any open set..[r] ... See full document
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Janowski type close to convex functions associated with conic regions
... The analytic functions, mapping the open unit disk onto petal and oval type regions, introduced by Noor and Malik (Comput. Math. Appl. 62:2209-2217, 2011), are considered to define and study their associated ... See full document
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A Subclass of Meromorphic Close to Convex Functions of Janowski's Type
... Though the convolution of two univalent or starlike functions does not need be univalent, it is well-known that the classes of starlike, convex, and close-to-convex functions are closed under ... See full document
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On uniformly close to convex functions and uniformly quasiconvex functions
... respectively, convex, starlike, and close to convex in ∆ ...normalized function of the form ...a convex function g with g(0) = 0, g (0) = 1 such that for z ∈ ∆ ... See full document
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HARMONIC MAPPINGS RELATED TO CLOSE-TO-CONVEX FUNCTIONS OF COMPLEX ORDER b
... Finally, a planar harmonic mapping in the open unit disc D is a complex-valued harmonic function f , which maps D onto the some planar domain f ( D ). Since D is a simply con- nected domain, the mapping f has a ... See full document
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24. The komatu integral operator and strongly close-to-convex functions
... for some (0 < 1) and (0 < 1), then we say that f (z) is strongly convex of order and type in U . We denote this class by C( ; ) (see also Liu [10] and Nunokawa [14]). In particular, the classes S ( ; 0) and ... See full document
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On a certain new subclass of meromorphic close to convex functions
... the function f (z) is subordinate to g(z) in U, and we write f (z) ≺ g(z) (z ∈ U) if there exists a Schwarz function w(z), analytic in U with w() = and | w(z) | ≤ , such that f (z) = g(w(z)) (z ∈ ...the ... See full document
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The Fekete Szegö inequality for close to convex functions with respect to a certain starlike function dependent on a real parameter
... as close-to-convex, and domains h(D) are called convex in the positive (negative) direction of the real axis and are related to functions convex in the direction of the imaginary axis (see, ... See full document
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On Certain Subclasses of Meromorphic Close to Convex Functions
... If f and g are analytic functions in U, then we say that f is subordinate to g, written f ≺ g, if there is a function w analytic in U, with w0 0, |wz| < 1, for all z ∈ U such that fz gwz for z ∈ U. If g is ... See full document
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On subclasses of close to convex functions of higher order
... Hence Tkp consists entirely of univalent functions if 2 also follows easily from the definition that the class set of a llnear-invariant family of order.. Using the method of Clunle and [r] ... See full document
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Generalized Alpha Close to Convex Functions
... Remark 2.3. From Theorem 2.2, we can interpret some geometrical meaning for the functions in Gα, k, γ . For simplicity, let us suppose that the image domain is bounded by an analytic curve Γ. At a point on Γ, the outward ... See full document
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COEFFICIENT BOUNDS FOR A CERTAIN SUBCLASS OF CLOSE-TO-CONVEX FUNCTIONS ASSOCIATED WITH THE KOEBE FUNCTION
... univalent function of the form (1). According to Duren (1983), the function f z S is called a convex function and starlike function if it satisfies Re 1 "( ) ... See full document
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Subclasses of close to convex functions
... M., Subclasses of starlike functions subordinate to convex functions submitted..[r] ... See full document
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Harmonic mappings for which co analytic part is a close to convex function of order b
... A planar harmonic mapping in the open unit disc D = {z||z| < } is a complex-valued har- monic function f which maps D onto some planar domain f (D). Since D is a simply con- nected domain, the mapping f has a ... See full document
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On close to convex functions of complex order
... In this section, sharp estimates for the coefficients of functions in determined in Theorem 2.1.. First, we need the following lemmas..[r] ... See full document
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On certain classes of close to convex functions
... We note that Theorem 3.3 shows that the family K n is invariant under the following integral operators... The author would like to thank the referee whose comments influenced the final v[r] ... See full document
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On a generalization of close to convexity
... Close-to-convex functions, functions of bounded boundary rotation, necessary condon, radius of convexly, generalized Koebe function.. 1980 tTHEMATICS SUBJECT CLASSIFICATION CODES.[r] ... See full document
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Fekete Szegö Problem for a New Class of Analytic Functions
... A function fz in A is said to be in class S ∗ of starlike functions of order zero in U, if Rzf z/f z > 0 for z ∈ ...are convex. Further, f is convex if and only if zf z is ...A function f ∈ ... See full document
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Spiral like integral operators
... and Mehrok, T.J.S.: On Univalence of certain analytic functions associated wih starlike, convex and close-to-convex functions, Indian J.. BERNARDI, S.D.: Convex and starlike univalent fu[r] ... See full document
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On quasi convex functions and related topics
... Univalent convex, alpha-convex, quasi-convex, alpha quasiconvex, close-to-convex, arclength, coefficient, radius of convexity, order 8 type Y, Livingston’ s and Libera’ s operators... SJ[r] ... See full document
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