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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 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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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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On Harmonic Close-To-Convex Functions

Computational Methods and Function Theory, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ponnusamy, Saminathan   +1 more
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Certain Subclasses of Close-to-Convex Functions

Vietnam Journal of Mathematics, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Goyal, Som P., Singh, Onkar
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On α-close-to-convex functions

Proceedings of the Indian Academy of Sciences - Section A, 1979
LetP(α) denote the class of functionsf analytic in the unit discE, withf(0)=0,f(z)≠0 ...
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A subclass of close-to-convex functions

2013
Summary: 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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On mutually adjoint close-to-convex functions

1970
Artykuł z : Annales Universitatis Mariae Curie-Skłodowska. Sectio A, Mathematica. Vol. 19 (1965), s. 47-51 ; streszcz pol., ros. ; Artykuł z : Annales Universitatis Mariae Curie-Skłodowska. Sectio A, Mathematica. Vol. 19 (1965), s. 47-51 ; streszcz pol., ros.
Lewandowski, Zdzisław (1929-2011)   +1 more
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