Results 1 to 10 of about 20,998 (256)
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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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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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 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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Estimate for Schwarzian derivative of certain close-to-convex functions
AIMS Mathematics, 2021 Let $ f(z) $ be analytic in the unit disk with $ f(0) = f'(0)-1 = 0 $. For the following close-to-convex subclasses: $ \Re \{(1-z)f'(z)\} > 0, $ $ \Re \{(1-z^{2})f'(z)\} > 0, $ $ \Re \{(1-z+z^{2})f'(z)\} > 0 $ and $ \Re \{(1-z)^{2}f'(z)\} > ...
Zhenyong Hu, Xiaoyuan Wang , Jinhua Fan
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On Certain Subclasses of Meromorphic Close-to-Convex Functions [PDF]
Journal of Inequalities and Applications, 2008 By using the operator Dλnf(z), z∈U, Definition 2.1, we introduce a class of meromorphic functions denoted by Σ(α,λ,n) and we obtain certain differential subordinations.
Gheorghe Oros +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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On subclasses of close-to-convex functions of higher order [PDF]
International Journal of Mathematics and Mathematical Sciences, 1992 The classes Tk(ρ), 0 ...
Khalida Inayat Noor
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Janowski Type q-Convex and q-Close-to-Convex Functions Associated with q-Conic Domain [PDF]
Mathematics, 2020 Certain new classes of q-convex and q-close to convex functions that involve the q-Janowski type functions have been defined by using the concepts of quantum (or q-) calculus as well as q-conic domain
Muhammad Naeem +5 more
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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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