Results 41 to 50 of about 9,723 (251)
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
doaj +1 more source
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, Oswaldo Araujo, Juan Rada
openaire +2 more sources
On the sharp constant for starlikeness [PDF]
International Journal of Mathematics and Mathematical Sciences, 2001 We obtain a sharp constant of the sufficient condition for p‐valently starlikeness, which had been studied by Nunokawa (1991), Obradović and Owa (1989), and Li (1993).
Keying Chen
openalex +4 more sources
Spanning graphs of hypercubes: starlike and double starlike trees
Discrete Mathematics, 2002 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Michel Mollard, Mohamed Kobeissi
openaire +2 more sources
On the properties of a class of polyharmonic functions
Mathematical Modelling and Analysis, 2013 The aim of this paper is to investigate some motivated geometrical aspects and properties of polyharmonic functions (PH) including starlikeness, convexity and univalence. A polyharmonicity preserving complex operator is also introduced.
Suheil Khuri
doaj +1 more source
Subclasses of close-to-convex functions
International Journal of Mathematics and Mathematical Sciences, 1983 Let 𝒦[C,D], −1 ...
E. M. Silvia
doaj +1 more source
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 𝑓(𝑧)=𝑧ℎ(𝑧)𝑔(𝑧) defined on the open unit disc 𝑈.
Maisarah Haji Mohd, Maslina Darus
doaj +1 more source
The second Hankel determinant for starlike and convex functions of order alpha
Complex Variables and Elliptic Equations, 2021 In recent years, the study of Hankel determinants for various subclasses of normalised univalent functions given by for has produced many interesting results. The main focus of interest has been estimating the second Hankel determinant of the form .
Y. J. Sim, D. Thomas, P. Zaprawa
semanticscholar +1 more source
ON A CRITERION FOR MULTIVALENTLY STARLIKENESS [PDF]
Taiwanese Journal of Mathematics, 1997 Let \(S(p)\) be the class of functions \(f:f(z)= z^p+ \sum^\infty_{n=p+1} a_nz^n\) analytic in the unit disc \(E\) and satisfying \(\text{Re} {zf'(z) \over f(z)} >0\) for \(z\in E\). \(f\in S(p)\) is called a \(p\)-valently starlike function in \(E\). In this paper a counter example is given to show that the main theorem of [\textit{M.
openaire +3 more sources
Certain Properties of Some Families of Generalized Starlike Functions with respect to q-Calculus
Abstract and Applied Analysis, 2016 By making use of the concept of q-calculus, various types of generalized starlike functions of order α were introduced and studied from different viewpoints.
Ben Wongsaijai, Nattakorn Sukantamala
doaj +1 more source