Results 281 to 290 of about 90,034,892 (319)

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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Second Hankel Determinant for a Certain Subclass of Bi-Close to Convex Functions Defined by Kaplan

Symmetry, 2021
In this paper, we consider the class of strongly bi-close-to-convex functions of order α and bi-close-to-convex functions of order β. We obtain an upper bound estimate for the second Hankel determinant for functions belonging to these classes.
Stanislawa Kanas, Sivasubramanian Srikandan   +1 more
exaly   +2 more sources

New Subclasses of the Class of Close-to-Convex Functions

Proceedings of the American Mathematical Society, 1977
In this paper we introduce new subclasses of the class of close-to-convex functions. We call a regular function f ( z ) f(z) an alpha-close-to-convex function if ( f ( z
Pran Nath Chichra
exaly   +2 more sources

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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The Fekete-Szegö Problem for Close-to-Convex Functions With Respect to the Koebe Function

Acta Mathematica Scientia, 2014
Adam Lecko, Bogumila Kowalczyk
exaly   +2 more sources

On Close-to-Convex Harmonic Mappings

Complex Variables and Elliptic Equations, 2013
Daoud Bshouty, S S Joshi
exaly   +2 more sources

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., Przybycień, H., Urbański, R.   +2 more
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Closed and convex fuzzy sets

Fuzzy Sets and Systems, 2000
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The Second Hankel Determinant of Logarithmic Coefficients for Strongly Ozaki Close-to-Convex Functions

Bulletin of the Malaysian Mathematical Sciences Society, 2023
Sevtap Sümer Eker, A. Lecko, Bilal Çekiç, B. Şeker   +3 more
semanticscholar   +1 more source

Conformal Mappings of Close-to-Convex Domains

Journal of the London Mathematical Society, 1997
Let \(f\) 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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