Results 31 to 40 of about 89 (81)
On the Eccentric Spectra of the Line Graph of Starlike Trees
Discrete Dynamics in Nature and Society, Volume 2025, Issue 1, 2025.A tree is called starlike if it has exactly one vertex with a degree greater than two. In this paper, we determine the eccentricity spectrum of the line graphs of starlike trees and compute their eccentric energy. Furthermore, we establish that the eccentricity matrix of the line graph of any starlike tree is irreducible.
S. Balamoorthy +4 more
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New Result for Strongly Starlike Functions
Applied Mathematics, 2017 In this paper, using Salagean differential operator, we define and investigate a new subclass of univalent functions . We also establish a characterization property for functions belonging to the class .
R. O. Ayinla, T. O. Opoola
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Application of Differential Subordinations to the Arithmetic–Geometric Means by Using an Operator
Journal of Mathematics, Volume 2025, Issue 1, 2025.This study investigates differential subordination involving arithmetic and geometric mean approaches associated with a previously introduced operator. While earlier studies considered cases where the dominant function was convex or linear, the present work extends these results by examining differential subordinations for specific classes of convex ...
Santosh Mandal +5 more
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Compact convex sets free of inner points in infinite‐dimensional topological vector spaces
Mathematische Nachrichten, Volume 297, Issue 5, Page 1668-1677, May 2024.Abstract An inner point of a non‐singleton convex set M$M$ is a point x∈M$x\in M$ satisfying that for all m∈M∖{x}$m\in M\setminus \lbrace x\rbrace$ there exists n∈M∖{m,x}$n\in M\setminus \lbrace m,x\rbrace$ such that x∈(m,n)$x\in (m,n)$. We prove the existence of convex compact subsets free of inner points in the infinite‐dimensional setting. Following
Almudena Campos‐Jiménez +1 more
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On the order of strongly starlikeness of strongly convex functions
Proceedings of the Japan Academy, Series A, Mathematical Sciences, 1993 Let \(A\) denote the set of functions \(f(z)\) analytic in the unit disc \(E\) with \(f(0)=0\) and \(f'(0)=1\). P. T. Mocanu has proved that if \[ |\arg(1+ zf''(z)/f'(z)|< \pi\gamma/2\quad\text{for all }z\in E, \] then \(|\arg zf'(z)/f(z)|
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Journal of Biogeography, Volume 51, Issue 5, Page 924-939, May 2024.Abstract Aim The continental island system comprising Sakhalin, Hokkaido and the southern Kuril Islands (SHSK) in northeastern Asia serves as one of the southernmost habitats for many boreal and arctic organisms, with colonization via land bridges formed during glacial periods.
Gohta Kinoshita +10 more
wiley +1 more source
The Loewner–Kufarev energy and foliations by Weil–Petersson quasicircles
Proceedings of the London Mathematical Society, Volume 128, Issue 2, February 2024.Abstract We study foliations by chord–arc Jordan curves of the twice punctured Riemann sphere C∖{0}$\mathbb {C} \setminus \lbrace 0\rbrace$ using the Loewner–Kufarev equation. We associate to such a foliation a function on the plane that describes the “local winding” along each leaf. Our main theorem is that this function has finite Dirichlet energy if
Fredrik Viklund, Yilin Wang
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Macromolecular Poly(N‐isopropylacrylamide) (PNIPAM) in Cancer Treatment and Beyond
Advances in Polymer Technology, Volume 2024, Issue 1, 2024.Poly(N‐isopropylacrylamide) (PNIPAM) is a versatile polymer known for its phase transition properties, exhibiting a lower critical solution temperature (LCST) of approximately 32°C. Below this temperature, PNIPAM is hydrophilic, while above it, the polymer becomes hydrophobic, making it ideal for thermosensitive drug delivery systems (DDSs).
Siddhi Throat +2 more
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Certain Conditions For Strongly Starlike And Strongly Convex Functions
, 2010 In the present paper, we investigate a differential subordination involving multiplier transformation related to a sector in the open unit disk E = {z : |z| < 1}. As special cases to our main result, certain sufficient conditions for strongly starlike and strongly convex functions are obtained.
Sukhwinder Singh Billing +2 more
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Ruscheweyh derivative and strongly starlike functions
Tsukuba Journal of Mathematics, 2000 The class \(\overline{S}^*(\beta,\gamma)\) of strongly starlike functions of order \(\beta\) and type \(\gamma\) consists of functions \(f(z) = \sum_{k=1}^\infty a_k z^k\) which are analytic in the unit disc and satisfy \(|\arg (zf'(z)/f(z) - \gamma)|< \pi \beta /2\) for all \(z\) in the unit disc. Here \(0 \leq \gamma < 1\) and \(0 < \beta < 1\). (The
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