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Bounded Doubly Close-to-Convex Functions [PDF]

open access: yesAbstract and Applied Analysis, 2014
We consider a new class CC(α,β) of bounded doubly close-to-convex functions. Coefficient bounds, distortion theorems, and radius of convexity for the class CC(α,β) are investigated.
Dorina Răducanu
doaj   +5 more sources

On a Subclass of Meromorphic Close-to-Convex Functions [PDF]

open access: yesThe Scientific World Journal, 2014
The main purpose of this paper is to introduce and investigate a certain subclass of meromorphic close-to-convex functions. Such results as coefficient inequalities, convolution property, inclusion relationship, distortion property, and radius of ...
Ming-Liang Li, Lei Shi, Zhi-Gang Wang
doaj   +5 more sources

Janowski type close-to-convex functions associated with conic regions [PDF]

open access: yesJournal of Inequalities and Applications, 2017
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 close-to-convex functions.
Shahid Mahmood   +2 more
doaj   +2 more sources

Subclasses of close-to-convex functions [PDF]

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1983
Let 𝒦[C,D], −1 ...
E. M. Silvia
doaj   +2 more sources

Generalized Alpha-Close-to-Convex Functions [PDF]

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2009
We define the classes Gβ(α,k,γ) as follows: f∈Gβ(α,k,γ) if and only if, for z∈E={z∈ℂ:|z|
K. Inayat Noor   +2 more
doaj   +3 more sources

On a subclass of close-to-convex functions

open access: yesApplied Mathematics Letters, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Joanna Kowalczyk
exaly   +3 more sources

The Second Hankel Determinant Problem for a Class of Bi-Close-to-Convex Functions

open access: yesMathematics, 2019
The purpose of the present work is to determine a bound for the functional H 2 ( 2 ) = a 2 a 4 − a 3 2 for functions belonging to the class C Σ of bi-close-to-convex functions.
Nak Eun Cho   +3 more
doaj   +3 more sources

Properties of Spiral-Like Close-to-Convex Functions Associated with Conic Domains

open access: yesMathematics, 2019
In this paper, our aim is to define certain new classes of multivalently spiral-like, starlike, convex and the varied Mocanu-type functions, which are associated with conic domains.
Hari M. Srivastava   +5 more
doaj   +3 more sources

On close-to-convex functions of complex order [PDF]

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1990
The class S*(b) of starlike functions of complex order b was introduced and studied by M.K. Aouf and M.A. Nasr. The authors using the Ruscheweyh derivatives introduce the class K(b) of functions close-to-convex of complex order b, b≠0 and its ...
H. S. Al-Amiri, Thotage S. Fernando
doaj   +2 more sources

On certain classes of close-to-convex functions [PDF]

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1993
A function f, analytic in the unit disk E and given by , f(z)=z+∑k=2∞anzk is said to be in the family Kn if and only if Dnf is close-to-convex, where Dnf=z(1−z)n+1∗f, n∈N0={0,1,2,…} and ∗ denotes the Hadamard product or convolution.
Khalida Inayat Noor
doaj   +3 more sources

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