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On Harmonic Close-To-Convex Functions

Computational Methods and Function Theory, 2012
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Anbareeswaran Sairam Kaliraj   +2 more
exaly   +3 more sources

ON CERTAIN CLOSE-TO-CONVEX FUNCTIONS

Bulletin of the Australian Mathematical Society, 2023
AbstractLet $\mathcal {K}_u$ denote the class of all analytic functions f in the unit disk $\mathbb {D}:=\{z\in \mathbb {C}:|z|<1\}$ , normalised by $f(0)=f'(0)-1=0$ and satisfying $|zf'(z)/g(z)-1|<1$ in $\mathbb {D}$ for some starlike function g. Allu, Sokól and Thomas [‘On a close-to-convex analogue of certain starlike functions’, Bull.
MD FIROZ ALI, MD NUREZZAMAN
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On $\alpha$-close-to-convex functions

Publicationes Mathematicae Debrecen, 1996
Inspired by a paper of \textit{A. W. Goodman} and \textit{E. W. Saff} [Int. J. Math. Math. Sci. 1, 125-132 (1978; Zbl 0383.30005)], the authors investigate the classes \({\mathcal G}_\alpha\) \((-\pi ...
Silverman, H., Silvia, E. M.
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On a Subclass of Close-to-Convex Mappings

Complex Analysis and Operator Theory, 2014
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Xu, Qinghua, Liu, Taishun, Liu, Xiaosong
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ON OZAKI CLOSE-TO-CONVEX FUNCTIONS

Bulletin of the Australian Mathematical Society, 2018
Let $f$ be analytic in $\mathbb{D}=\{z\in \mathbb{C}:|z|<1\}$ 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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Closed and convex fuzzy sets

Fuzzy Sets and Systems, 2000
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On Summands of Closed Bounded Convex Sets

Zeitschrift für Analysis und ihre Anwendungen, 2002
In this paper properties of the Minkowski-Pontryagin subtraction of closed bounded convex sets are investigated (see Propositions 1-3) and four criteria for summands of closed bounded convex sets are given (see Theorems 1-4).
Grzybowski, J.   +2 more
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Weakly Close-to-Convex Meromorphic Functions

Canadian Journal of Mathematics, 1989
Classes of functions, meromorphic and univalent inΔ = {z:|z|< 1}with simple pole at z = p, 0 < p < 1, have been discussed in several places in the literature ([3], [6], [8], [10], [11], and [12]). The purpose of this paper is to discuss a class of Close-to-Convex functions with pole at p analogous to the class of Close-to-Convex functions with
Landau-Treisner, Laurellen   +1 more
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