Results 1 to 10 of about 1,298 (166)
The Generalized Janowski Starlike and Close-to-Starlike Log-Harmonic Mappings [PDF]
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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Applied Mathematics Letters, 2001 In this short paper the authors show that the relation \(T_1\preceq T_2\) holds for various pairs of starlike trees \(T_1\), \(T_2\). The starlike trees (with a given number of vertices), extremal with respect to the relation \(\preceq\), are characterized.
Ivan Gutman, Juan Rada
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No starlike trees are cospectral
Discrete Mathematics, 2002 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ivan Gutman
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SOME CRITERIA FOR STARLIKENESS AND STRONGLY STARLIKENESS [PDF]
Bulletin of the Korean Mathematical Society, 2005 The authors discuss on certain sufficient conditions for starlikeness and strongly starlikeness of analytic functions in the unit disk. Their results generalise and refine known results of \textit{J.-L. Li} and \textit{S. Owa} [Indian J. Pure Math. 33, 313--318 (2002; Zbl 0998.30010), Georgian Math. J. 5, 361--366 (1998; Zbl 0924.30008)] and of \textit{
Xu, Neng, Yang, Dinggong
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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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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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First-Order Differential Subordinations and Their Applications
Axioms, 2023 In this paper, we consider some relations related to the representations of starlike and convex functions, and obtain some sufficient conditions for starlike and convex functions by using the theory of differential subordination.
Ali Ebadian +4 more
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Algebra Colloquium, 2023 We introduce the notion of a quadratic graph, which is a graph whose eigenvalues are integral or quadratic algebraic integral, and we determine nine infinite families of quadratic starlike trees, which are just all the quadratic starlike trees including integral starlike trees. Thus, the quadratic starlike trees are completely characterized.
Hu, Yarong, Huang, Qiongxiang
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On a subclass of starlike functions associated with a vertical strip domain
Journal of Inequalities and Applications, 2019 In this paper, we consider a subclass of starlike functions associated with a vertical strip domain. We obtain several results concerned with integral representations, convolutions, and coefficient inequalities for functions belonging to this class ...
Yong Sun +3 more
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Subordinations and Norm Estimates for Functions Associated with Ma-Minda Subclasses
Mathematics, 2022 For a function p analytic in the open unit disc and satisfying p(0)=1, we prove certain subordination implications of the first order differential subordination 1+zp′(z)≺1+Mz, which provides sufficient conditions for a function to belong to various ...
Aaisha Farzana Habibullah +2 more
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