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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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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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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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Sufficient Conditions for Starlike Functions Associated with the Lemniscate of Bernoulli [PDF]
, 2013 Let -1\leq ...
Cho, Nak Eun +3 more
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Initial logarithmic coefficients for functions starlike with respect to symmetric points
Boletín de la Sociedad Matematica Mexicana, 2021 In this paper, we obtain the bounds of the initial logarithmic coefficients for functions in the classes SS∗\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{
P. Zaprawa
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A unified representation of some starlike and convex harmonic functions with negative coefficients [PDF]
Opuscula Mathematica, 2013 In this paper we introduce a unified representation of starlike and convex harmonic functions with negative coefficients, related to uniformly starlike and uniformly convex analytic functions.
R. M. El-Ashwah +3 more
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On the Order of a Starlike Function [PDF]
Transactions of the American Mathematical Society, 1971 It is shown that if f ∈ S f \in S , the class of normalised starlike functions in the unit disc Δ \operatorname {disc} \Delta , then \[ ( i ) lim r → 1
D. K. Thomas, F. Holland
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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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Certain Coefficient Estimate Problems for Three-Leaf-Type Starlike Functions
Fractal and Fractional, 2021 In our present investigation, some coefficient functionals for a subclass relating to starlike functions connected with three-leaf mappings were considered.
Lei Shi +5 more
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