Results 1 to 10 of about 51,379 (267)
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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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
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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
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Subclasses of close-to-convex functions [PDF]
International Journal of Mathematics and Mathematical Sciences, 1983 Let 𝒦[C,D], −1 ...
E. M. Silvia
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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
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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
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On a New Class of Bi-Close-to-Convex Functions with Bounded Boundary Rotation
Mathematics, 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
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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
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Properties of Spiral-Like Close-to-Convex Functions Associated with Conic Domains
Mathematics, 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
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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 +2 more
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