Close-to-Convex functions
A Subclass of Meromorphic Close to Convex Functions of Janowski's Type
... 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 convolution with convex ...
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5. Certain Classes of $k$-Uniformly Close-to-Convex Functions and Other Related Functions Defined by Using the Dziok-Srivastava Operator
... 𝑘-uniformly close-to-convex functions and 𝑘-uniformly quasi-convex functions are defined here by using the Dziok- Srivastava ...for functions belonging to each of these classes of ...
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Janowski type close to convex functions associated with conic regions
... analytic functions, mapping the open unit disk onto petal and oval type regions, introduced by Noor and Malik ...associated close-to-convex ...
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Coefficient, distortion and growth inequalities for certain close to convex functions
... These functions are close-to-convex ...starlike functions with respect to symmetric points, Gao and Zhou [3] discussed a class K s of close-to-convex univalent ...
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On a certain new subclass of meromorphic close to convex functions
... two functions f and g analytic in U, we say that 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) | ...
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COEFFICIENT BOUNDS FOR A CERTAIN SUBCLASS OF CLOSE-TO-CONVEX FUNCTIONS ASSOCIATED WITH THE KOEBE FUNCTION
... (1) analytic in the open unit disc U and normalized by f 0 0 and f 0 1 . Also, we denote S to be the class of functions in A containing univalent function of the form (1). According to Duren ...
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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
... Such functions h, clearly univalent 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 ...
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Subclasses of close to convex functions
... M., Subclasses of starlike functions subordinate to convex functions submitted..[r] ...
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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 ...
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HARMONIC MAPPINGS RELATED TO CLOSE-TO-CONVEX FUNCTIONS OF COMPLEX ORDER b
... of functions in the open unit disc D that are normalized with h(0) = h ′ (0) − 1 = 0, then a function h(z) ∈ A is called convex on starlike if it maps D into a convex or starlike region, ...univalent ...
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On a class of p valent close to convex functions of order β and type α
... AOUF Department of Mathematics Faculty of Science Mansoura University Mansoura, Egypt Received October i0, 1986 and in revised form October 29, 1986... zf’z We note that.[r] ...
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On Certain Subclasses of Meromorphic Close to Convex Functions
... 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 ∈ ...
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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] ...
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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] ...
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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] ...
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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 ...
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On uniformly close to convex functions and uniformly quasiconvex functions
... of functions that are, respectively, convex, starlike, and close to convex in ∆ ...of functions known as quasiconvex ...a convex function g with g(0) = 0, g (0) = 1 such that for ...
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Growth results for a subclass of Bazilevič functions
... Bazilevic functions, subclasses tive has positive real part, close-to-convex functions, estimates.. 1980 AMS SUBJECT CLASSIFICATION CODE.[r] ...
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A Subclass of Harmonic Functions Associated with a Convolution Structure
... J.M.Jahangiri, Chan Kim Young and H.Srivastava, Construction of a certain class of harmonic close to convex functions associated with the Alexander integral transform, Integral Transfo[r] ...
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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] ...
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