Results 11 to 20 of about 90,034,892 (319)
Mathematics, 2019 In this paper, our aim is to define a new subclass of close-to-convex functions in the open unit disk U that are related with the right half of the lemniscate of Bernoulli.
Qazi Zahoor Ahmad +2 more
exaly +2 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
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Some Reciprocal Classes of Close-to-Convex and Quasi-Convex Analytic Functions
Mathematics, 2019 The present paper comprises the study of certain functions which are analytic and defined in terms of reciprocal function. The reciprocal classes of close-to-convex functions and quasi-convex functions are defined and studied.
Shahid Mahmood +3 more
doaj +2 more sources
ON OZAKI CLOSE-TO-CONVEX FUNCTIONS
Bulletin of the Australian Mathematical Society, 2018 Let $f$ be analytic in $\mathbb{D}=\{z\in \mathbb{C}:|z|
V. Allu, D. Thomas, N. Tuneski
semanticscholar +3 more sources
On the Hankel determinants of close-to-convex univalent functions [PDF]
International Journal of Mathematics and Mathematical Sciences, 1980 The rate of growth of Hankel determinant for close-to-convex functions is determined. The results in this paper are best possible.
K. Inayat Noor
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On close-to-convex functions of complex order [PDF]
International 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
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On the logarithmic coefficients of close to convex functions [PDF]
Proceedings of the American Mathematical Society, 2015 For $f$ analytic and close to convex in $D=\{z: |z|< 1\}$, we give sharp estimates for the logarithmic coefficients $\gamma_{n}$ of $f$ defined by $\log \dfrac{f(z)}{z}=2\sum_{n=1}^{\infty} \gamma_{n}z^{n}$ when $n=1, 2,3$.
D. K. Thomas
semanticscholar +5 more sources
On Some Problems of Strongly Ozaki Close-to-Convex Functions
Journal of Function Spaces, 2020 The purpose of the current paper is to investigate some geometric properties of the class FOν,γ, called strongly Ozaki close-to-convex functions, such as strongly starlikeness and close-to-convexity.
Zahra Maleki +3 more
doaj +2 more sources
A note on certain subclass of close-to-convex functions
International Journal of Mathematics and Mathematical Sciences, 1988 The object of the present paper is to show a result for functions belonging to class P′(1−α,0) which is a subclass of close-to-convex functions in the unit disk U.
Shigeyoshi Owa, Liu Liquan, Wancang Ma
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Close-to-Convex Functions Defined by Fractional Operator [PDF]
, 2013 Let S denote the class of functions f(z )= z + a2z 2 + ... analytic and univalent in the open unit disc D = {z ∈ C||z| 0 in , and prove that every close-to-convex function is univalent.
S. M. Aydoǧan +2 more
semanticscholar +3 more sources