Results 301 to 310 of about 63,681 (326)
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ON CERTAIN CLOSE-TO-CONVEX FUNCTIONS
Bulletin of the Australian Mathematical Society, 2023AbstractLet $\mathcal {K}_u$ 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, 1996Inspired 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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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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On Harmonic Close-To-Convex Functions
Computational Methods and Function Theory, 2012zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ponnusamy, Saminathan +1 more
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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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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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Hermitian-Toeplitz Determinants for Certain Classes of Close-to-Convex Functions
Bulletin of the Iranian Mathematical Society, 2021Virendra Kumar
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Bohr radius for certain classes of close-to-convex harmonic mappings
Analysis and Mathematical Physics, 2021M. B. Ahamed, V. Allu, H. Halder
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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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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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