Results 11 to 20 of about 63,681 (326)
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.
semanticscholar +10 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 +2 more
doaj +3 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 +2 more
doaj +4 more sources
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
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
The Second Hankel Determinant Problem for a Class of Bi-Close-to-Convex Functions
Mathematics, 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 +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
On a Subclass of Close-to-Convex Functions [PDF]
Bulletin of the Iranian Mathematical Society, 2018 11 ...
Chung, Yao Liang +2 more
openaire +4 more sources
Sharp Bounds of the Hermitian Toeplitz Determinants for Some Classes of Close-to-Convex Functions [PDF]
Bulletin of the Malaysian Mathematical Sciences Society, 2021 Sharp upper and lower bounds of the Hermitian Toeplitz determinants of the second and third orders are found for various subclasses of close-to-convex functions.
A. Lecko, Barbara Śmiarowska
semanticscholar +2 more sources