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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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Research on Geometric Mappings in Complex Systems Analysis
Discrete Dynamics in Nature and Society, 2016 We mainly discuss the properties of a new subclass of starlike functions, namely, almost starlike functions of complex order λ, in one and several complex variables.
Yanyan Cui, Chaojun Wang, Sifeng Zhu
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Starlikness Associated with Cosine Hyperbolic Function
Mathematics, 2020 The main contribution of this article is to define a family of starlike functions associated with a cosine hyperbolic function. We investigate convolution conditions, integral preserving properties, and coefficient sufficiency criteria for this family ...
Abdullah Alotaibi +3 more
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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 đ(đ§)=đ§â(đ§)đ(đ§) defined on the open unit disc đ.
Maisarah Haji Mohd, Maslina Darus
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Differential inequalities for spirallike and strongly starlike functions
Advances in Difference Equations, 2021 In this paper, by using a technique of the first-order differential subordination, we find several sufficient conditions for an analytic function p such that p ( 0 ) = 1 $p(0)=1$ to satisfy Re { e i ÎČ p ( z ) } > Îł $\operatorname{Re}\{ {\mathrm{e ...
Nak Eun Cho, Oh Sang Kwon, Young Jae Sim
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International Journal of Mathematics and Mathematical Sciences, 1999 We investigate an expression involving the quotient of the analytic representations of convex and starlike functions. Sufficient conditions are found for functions to be starlike of a positive order and convex.
Herb Silverman
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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 = fâČ(0) â 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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Journal of Function Spaces, 2018 This article deals with q-starlike functions associated with conic domains, defined by Janowski functions. It generalizes the recent study of q-starlike functions while associating it with the conic domains.
Shahid Mahmood +5 more
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Slice Starlike Functions Over Quaternions [PDF]
The Journal of Geometric Analysis, 2018 25 ...
Xu, Zhenghua, Ren, Guangbin
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