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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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Fuzzy Sets and Systems, 2000
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On Summands of Closed Bounded Convex Sets
Zeitschrift für Analysis und ihre Anwendungen, 2002In 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, 1989Classes 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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Archiv der Mathematik, 1985
While the coefficient-bodies \(S_{k,n}=\{(a,b)\in {\mathbb{C}}^ 2:\) \(z+az^ k+bz^ n\in S\}\) of schlicht trinomials are completely known by the independent results of Rahman-Waniurski and Kasten-Schmieder (1979/80), this is not the case so far for certain subclasses such as close-to-convex or starlike trinomials.
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While the coefficient-bodies \(S_{k,n}=\{(a,b)\in {\mathbb{C}}^ 2:\) \(z+az^ k+bz^ n\in S\}\) of schlicht trinomials are completely known by the independent results of Rahman-Waniurski and Kasten-Schmieder (1979/80), this is not the case so far for certain subclasses such as close-to-convex or starlike trinomials.
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Conformal Mappings of Close-to-Convex Domains
Journal of the London Mathematical Society, 1997Let \(f\) be analytic and univalent in the unit disk \(\Delta\) and let \[ L(r,\theta)= \int_0^r|f'(\rho e^{i\theta})|d\rho\quad \text{for}\quad 0\leq ...
Carroll, Tom, Twomey, J. B.
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The Geometry of Multivalent Close-to-Convex Functions
Proceedings of the London Mathematical Society, 1985\textit{A. E. Livingston} [Trans. Am. Math. Soc. 155, 161-179 (1965; Zbl 0154.081)] defined the class of close-to-convex functions of order p to be the class K(p) of functions F regular in the unit ball \({\mathbb{B}}\) with \(F(0)=0\) such that \(Re(zF'/f)>0\) in some annulus \(\{\) \(z: \rho
Lyzzaik, A., Styer, D.
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Certain Subclasses of Close-to-Convex Functions
Vietnam Journal of Mathematics, 2013zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Goyal, Som P., Singh, Onkar
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A subclass of close-to-convex functions
2013Summary: We obtain coefficient estimates and distortion and growth theorems for certain subclass of close-to-convex functions. The results presented here contain those given in earlier works in some special cases.
SEKER, Bilal, CHO, Nak Eun
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