Close-to-convex
Coefficient, distortion and growth inequalities for certain close to convex functions
... These functions are close-to-convex functions. This can be easily seen by showing that the function (f(z) - f(-z))/2 is a starlike function in . Motivated by the class of starlike functions with respect to ...
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On uniformly close to convex functions and uniformly quasiconvex functions
... Let Q denote the class of quasiconvex functions defined in ∆. It was shown that Q ≺ K, where ≺ denotes subordination, so that every quasiconvex function is close to convex. Goodman [2, 3] introduced the ...
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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, ...
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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 ...
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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 ...𝑘-uniformly close-to-convex functions and 𝑘-uniformly ...
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Generalized Alpha Close to Convex Functions
... International Journal of Mathematics and Mathematical Sciences Let P denote the class of analytic functions p defined by.. We denote Kγ as the class of strongly close-to-convex functions[r] ...
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On Certain Subclasses of Meromorphic Close to Convex Functions
... Research Article On Certain Subclasses of Meromorphic Close-to-Convex Functions Georgia Irina Oros, Adriana Cătaş, and Gheorghe Oros Department of Mathematics, University of Oradea, 1,[r] ...
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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 ...
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Radius problems for a subclass of close to convex univalent functions
... RADIUS PROBLEMS FOR A SUBCLASS OF CLOSE-TO-CONVEX UNIVALENT FUNCTIONS KHALIDA INAYAT NOOR Mathematics Department College of Science King Saud University, Riyadh 11451 Sandi Arabia... The[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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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] ...
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HARMONIC MAPPINGS RELATED TO CLOSE-TO-CONVEX FUNCTIONS OF COMPLEX ORDER b
... Moreover, let A be the class 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 ...
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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 (1983), ...
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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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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 a certain new subclass of meromorphic close to convex functions
... A function f ∈ is said to be in the class MS∗ α of meromorphic starlike functions of order α if it satisfies the inequality.. In addition, a function f ∈ is said to be in the class MC o[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 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 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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Inclusion relations for certain families of integral operators associated with conic regions
... analytic in the open unit disc A = { z ∈ C : | z | < 1 } , and let S be the class of functions in A that are univalent in A. Also let S ∗ , C, K, and C ∗ be the subclasses of A consisting of all functions that are ...
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