Results 1 to 10 of about 11,578 (225)
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 ๐(๐ง)=๐งโ(๐ง)๐(๐ง) defined on the open unit disc ๐.
Maisarah Haji Mohd, Maslina Darus
doaj +3 more sources
Cluster synchronization of starlike networks with normalized Laplacian coupling: master stability function approach [PDF]
, 2015 A generalized model of starlike network is suggested that takes into account non-additive coupling and nonlinear transformation of coupling variables. For this model a method of analysis of synchronized cluster stability is developed.
Kuptsov, Pavel V., Kuptsova, Anna V.
core +2 more sources
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
openaire +1 more source
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
openaire +2 more sources
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
openaire +1 more source
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
openaire +2 more sources
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
doaj +1 more source
Proceedings of the American Mathematical Society, 1974 Let S โ [ ฮฑ ] {\mathcal {S}^\ast }[\alpha ] denote the class of functions f ( z ) = z + โ n = 2 โ
openaire +1 more source
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
doaj +1 more source
Radius Problems for Starlike Functions Associated with the Tan Hyperbolic Function
Journal of Function Spaces, 2021 The aim of this particular article is at studying a holomorphic function f defined on the open-unit disc D=zโโ ...
Khalil Ullah +4 more
doaj +1 more source