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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 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   +2 more sources

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   +4 more sources

On a New Class of Bi-Close-to-Convex Functions with Bounded Boundary Rotation

open access: yesMathematics, 2023
In the current article, we introduce a new class of bi-close-to-convex functions with bounded boundary rotation. For this new class, the authors obtain the first three initial coefficient bounds of the newly defined bi-close-to-convex functions with ...
Daniel Breaz   +3 more
doaj   +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

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

On the definition of a close-to-convex function

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1978
The standard definition of a close-to-convex function involves a complex numerical factor eiβ which is on occasion erroneously replaced by 1. While it is known to experts in the field that this replacement cannot be made without essentially changing the ...
A. W. Goodman, E. B. Saff
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

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