Results 31 to 40 of about 1,238 (216)
On Janowski Starlike Functions [PDF]
Journal of Inequalities and Applications, 2007 Applying the fractional calculus to analytic functions \(f(z)\) defined on the open unit disc \(U\) with \(f(0)=0\) and \(f^\prime(0)=1\) [cf. \textit{W. Janowski}, Bull. Acad. Pol. Sci., Sér. Sci. Math. Astron. Phys. 21, 17--25 (1973; Zbl 0252.30021)], the authors introduce a new fractional operator \(D^\lambda f(z)\) and define a subclass of the ...
Çağlar, Mert +4 more
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The Booth Lemniscate Starlikeness Radius for Janowski Starlike Functions
Bulletin of the Malaysian Mathematical Sciences Society, 2022 The function $G_\alpha(z)=1+ z/(1-\alpha z^2)$, \, $0\leq \alpha <1$, maps the open unit disc $\mathbb{D}$ onto the interior of a domain known as the Booth lemniscate. Associated with this function $G_\alpha$ is the recently introduced class $\mathcal{BS}(\alpha)$ consisting of normalized analytic functions $f$ on $\mathbb{D}$ satisfying the ...
Somya Malik +2 more
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Wasit Journal for Pure Sciences, 2023 Recently, several of the generalizations Koebe function are introduced and investigated. In this study, a linear complex operator is investigated in terms of the generalized Koebe function and Wright function.
Anwar H. Moureh, Hiba F. Al-Janaby
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Bulletin of the Australian Mathematical Society, 1980 Let S denote the class of functions f analytic and univalent in the open disc {z: |z| < 1} and normalized by f(0) = 0 = f′(0) − 1, and S*(α) denote the set of starlike functions of order α (0 ≤ α ≤ 1) in S. In this paper, the results of William M. Causey and William L. White [J. Math. Anal. Appl.
Gupta, V. P., Ahmad, Iqbal
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Radius of Starlikeness of Convex Combinations of Univalent Starlike Functions [PDF]
Proceedings of the American Mathematical Society, 1980 The radius of starlikeness of the convex combination \[ t f ( z )
Hamilton, D. H., Tuan, P. D.
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Convex and Starlike Functions Defined on the Subclass of the Class of the Univalent Functions $S$ with Order $2^{-r}$ [PDF]
Sahand Communications in Mathematical Analysis, 2022 In this paper, some conditions have been improved so that the function $g(z)$ is defined as $g(z)=1+\sum_{k\ge 2}^{\infty}a_{n+k}z^{n+k}$, which is analytic in unit disk $U$, can be in more specific subclasses of the $S$ class, which is the most ...
İsmet Yıldız +2 more
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Integral Operators on the Besov Spaces and Subclasses of Univalent Functions [PDF]
Sahand Communications in Mathematical Analysis, 2020 In this note, we study the integral operators $I_{g}^{\gamma, \alpha}$ and $J_{g}^{\gamma, \alpha}$ of an analytic function $g$ on convex and starlike functions of a complex order. Then, we investigate the same operators on $H^{\infty}$ and Besov spaces.
Zahra Orouji, Ali Ebadian
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Radius Results for Certain Strongly Starlike Functions
, 2023 This article comprises the study of strongly starlike functions which are defined by using the concept of subordination. The function φ defined by φ(ζ)=(1+ζ)λ, 0<λ<1 maps the open unit disk in the complex plane to a ...
Qin Xin +4 more
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Conditions for one direction convexity and starlikeness
Journal of Inequalities and Applications, 2016 We investigate several sufficient conditions on a function to be convex in one direction or starlike in one direction.
Mamoru Nunokawa +4 more
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Upper bounds of the logarithmic coefficients for some subclasses of analytic functions
Journal of Inequalities and Applications, 2023 Due to the major importance of the study of the logarithmic coefficients for univalent functions, in this paper we find the sharp upper bounds for some expressions associated with logarithmic coefficients of functions that belong to some well-known ...
Ebrahim Analouei Adegani +3 more
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