Results 1 to 10 of about 287,992 (171)

Coefficient Conditions for Harmonic Close-to-Convex Functions [PDF]

Abstract and Applied Analysis, 2012
New sufficient conditions, concerned with the coefficients of harmonic functions 𝑓(𝑧)=ℎ(𝑧)+𝑔(𝑧) in the open unit disk 𝕌 normalized by 𝑓(0)=ℎ(0)=ℎ(0)−1=0, for 𝑓(𝑧) to be harmonic close-to-convex functions are discussed.
Toshio Hayami
doaj   +9 more sources

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

Journal 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, Muhammad Arif, Sarfraz Nawaz Malik   +2 more
doaj   +2 more sources

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

International 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, Halit Orhan, Saima Mustafa   +2 more
doaj   +3 more sources

Bounded Doubly Close-to-Convex Functions [PDF]

Abstract 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

Subclasses of close-to-convex functions [PDF]

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

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

The 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

LOGARITHMIC COEFFICIENTS OF SOME CLOSE-TO-CONVEX FUNCTIONS [PDF]

Bulletin of the Australian Mathematical Society, 2016
The logarithmic coefficients$\unicode[STIX]{x1D6FE}_{n}$of an analytic and univalent function$f$in the unit disc$\mathbb{D}=\{z\in \mathbb{C}:|z|<1\}$with the normalisation$f(0)=0=f^{\prime }(0)-1$are defined by$\log (f(z)/z)=2\sum _{n=1}^{\infty }\unicode[STIX]{x1D6FE}_{n}z^{n}$.
Ali, Md. Firoz, Vasudevarao, A.
openaire   +6 more sources

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

International 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

New Criteria for Univalent‎, ‎Starlike‎, ‎Convex‎, ‎and Close-to-Convex Functions on the Unit Disk [PDF]

Mathematics Interdisciplinary Research, 2020
In the present paper, we introduce and investigate three interesting superclasses SD, SD* and KD of analytic, normalized and univalent functions in the open unit disk D.
Mohammad Reza Yasamian, Ali Ebadian, Mohammad Reza Foroutan   +2 more
doaj   +1 more source

Geometric Properties of a Certain Class of Mittag–Leffler-Type Functions

Fractal and Fractional, 2022
The main objective of this paper is to establish some sufficient conditions so that a class of normalized Mittag–Leffler-type functions satisfies several geometric properties such as starlikeness, convexity, close-to-convexity, and uniform convexity ...
Hari M. Srivastava, Anish Kumar, Sourav Das, Khaled Mehrez   +3 more
doaj   +1 more source