Results 21 to 30 of about 732 (179)
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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Faber Polynomial Coefficient Estimates for Meromorphic Bi-Starlike Functions
International Journal of Mathematics and Mathematical Sciences, 2013 We consider meromorphic starlike univalent functions that are also bi-starlike and find Faber polynomial coefficient estimates for these types of functions. A function is said to be bi-starlike if both the function and its inverse are starlike univalent.
Samaneh G. Hamidi +2 more
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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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The Generalized Janowski Starlike and Close-to-Starlike Log-Harmonic Mappings
International Journal of Mathematics and Mathematical Sciences, 2011 Motivated by the success of the Janowski starlike function, we consider here closely related functions for log-harmonic mappings of the form 𝑓(𝑧)=𝑧ℎ(𝑧)𝑔(𝑧) defined on the open unit disc 𝑈.
Maisarah Haji Mohd, Maslina Darus
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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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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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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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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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