Results 21 to 30 of about 5,950,409 (217)
Proceedings of the American Mathematical Society, 1985 The authors show that for normalized odd starlike functions f(z) \[ Re(f(z)/S_ n(z,f))>,\quad | z|
Singh, Ram, Puri, Sangita
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Briot–Bouquet Differential Subordinations for Analytic Functions Involving the Struve Function
Fractal and Fractional, 2022 We define a new class of exponential starlike functions constructed by a linear operator involving normalized form of the generalized Struve function. Making use of a technique of differential subordination introduced by Miller and Mocanu, we investigate
Asena Çetinkaya +1 more
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On p-Valently Meromorphic-Strongly Starlike and Convex Functions [PDF]
International Journal of Analysis and Applications, 2016 In this paper, we obtain sufficient conditions for analytic function $f(z)$ in the punctured unit disk to be $p$-valently meromorphic-strongly starlike and $p$-valently meromorphic-strongly convex of order $\beta$ and type $\alpha$.
Rahim Kargar, Ali Ebadian, Janusz Sokol
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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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An integral operator on the classes \(\mathcal{S}^{\ast}(\alpha )\) and \(\mathcal{CVH}(\beta )\) [PDF]
, 2013 The purpose of this paper is to study some properties related to convexity order and coefficients estimation for a general integral operator. We find the convexity order for this operator, using the analytic functions from the class of starlike functions
Ularu, Nicoleta, Breaz, Nicoleta
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On the Study of Starlike Functions Associated with the Generalized Sine Hyperbolic Function
Mathematics, 2023 Geometric function theory, a subfield of complex analysis that examines the geometrical characteristics of analytic functions, has seen a sharp increase in research in recent years.
Baseer Gul +5 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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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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