Results 281 to 290 of about 47,345 (292)
On Properties of $q$-Close-to-Convex Harmonic Functions of Order $\alpha$
Serkan Çakmak
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On a Subclass of Close-to-Convex Mappings [PDF]
Complex Analysis and Operator Theory, 2014 In this paper, the class of close-to-convex mappings of order \(\alpha \) is introduced in the unit ball of a complex Banach space, and then, we give the sharp distortion theorems for this class of mappings in the unit ball of a complex Hilbert space \(X\) or the unit polydisc in \(\mathbb {C}^n\) .
Qing-Hua Xu, Taishun Liu, Xiaosong Liu
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On a set of close-to-convex functions
Studia Scientiarum Mathematicarum Hungarica, 2018In this paper, a class Ss(q) of close-to-convex functions is considered. Among the results studied for this class are its various characteristic properties such as the radius of convexity, certain bounds and coeffcient estimates. A suffcient condition for a function f to be in the class Ss(q), is also obtained.
Ravinder Krishna Raina +2 more
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On a subclass of close-to-convex harmonic mappings
Complex Variables and Elliptic Equations, 2016We introduce a new subclass of close-to-convex harmonic mappings in the unit disk, which originates from the work of P. Mocanu on univalent mappings. We also give coefficient estimates, and discuss the Fekete-Szegő problem, for this class of mappings. Furthermore, we consider growth, covering and area theorems of the class.
Sun, Yong +3 more
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ON OZAKI CLOSE-TO-CONVEX FUNCTIONS
Bulletin of the Australian Mathematical Society, 2018Let $f$ be analytic in $\mathbb{D}=\{z\in \mathbb{C}:|z|<1\}$ and given by $f(z)=z+\sum _{n=2}^{\infty }a_{n}z^{n}$. We give sharp bounds for the initial coefficients of the Taylor expansion of such functions in the class of strongly Ozaki close-to-convex functions, and of the initial coefficients of the inverse function, together with some growth ...
VASUDEVARAO ALLU +2 more
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On Harmonic Close-To-Convex Functions
Computational Methods and Function Theory, 2012In this paper, we study the family of sense-preserving complex-valued harmonic functions f that are normalized and close-to-convex on the open unit disk D. First we investigate the conditions for which f is close-to-convex on D. As a consequence, we derive a sufficient condition for f to be in this family.
Saminathan Ponnusamy +1 more
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Fuzzy Sets and Systems, 2000
In this paper, we establish a characterization theorem for closed fuzzy sets, and give two weak conditions that a closed fuzzy set is a convex fuzzy set. We also present some results for convex fuzzy sets, strictly convex fuzzy sets, and closed fuzzy sets.
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In this paper, we establish a characterization theorem for closed fuzzy sets, and give two weak conditions that a closed fuzzy set is a convex fuzzy set. We also present some results for convex fuzzy sets, strictly convex fuzzy sets, and closed fuzzy sets.
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On α-close-to-convex functions
Proceedings of the Indian Academy of Sciences - Section A, 1979LetP(α) denote the class of functionsf analytic in the unit discE, withf(0)=0,f(z)≠0 ...
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On Generalized q-Close-to-Convexity
Applied Mathematics & Information Sciences, 2017openaire +2 more sources