Results 61 to 70 of about 51,379 (267)
On a generalization of close‐to‐convexity [PDF]
International Journal of Mathematics and Mathematical Sciences, 1982 A class Tk of analytic functions in the unit disc is defined in which the concept of close‐to‐convexity is generalized. A necessary condition for a function f to belong to Tk, raduis of convexity problem and a coefficient result are solved in this paper.
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Advanced Functional Materials, EarlyView.A chiral photodetector capable of selectively distinguishing left‐ and right‐handed circularly polarized light is experimentally demonstrated. The device, which features a nanopatterned electrode inverse‐designed by a genetic algorithm within a metal–dielectric–metal nanocavity that incorporates a vacuum‐deposited small‐molecule multilayer, exhibits ...
Kyung Ryoul Park +3 more
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On the definition of a close-to-convex function
International Journal of Mathematics and Mathematical Sciences, 1978 The standard definition of a close-to-convex function involves a complex numerical factor eiβ which is on occasion erroneously replaced by 1. While it is known to experts in the field that this replacement cannot be made without essentially changing the ...
A. W. Goodman, E. B. Saff
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Weakly close-to-convex-functions
Rocky Mountain Journal of Mathematics, 1988 We obtain coefficient bounds and integral means inequalities for the class of multivalent weakly close to convex functions. We also consider the integral means problem for the subclass of multivalent convex functions. Introduction. Let S(p) denote the class of functions / , analytic in A = { z : | 2 : | 0 so that Re[zf(z)/f(z)} > 0 for 6 0 such ...
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Advanced Functional Materials, EarlyView.Liquid‐phase transmission electron microscopy enables direct observation of nucleation and growth processes in solution. This review is dedicated to the remembrance of Helmut Cölfen and highlights recent studies on complex materials—oxides, biominerals, organic–inorganic crystals—which were central to his research activity. It summarizes key milestones,
Charles Sidhoum +5 more
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SOME PROPERTIES OF q CLOSE-TO-CONVEX FUNCTIONS
Hacettepe Journal of Mathematics and Statistics, 2017 Quantum calculus had been used first time by M.E.H.Ismail, E.Merkes and D.Steyr in the theory of univalent functions [5]. In this present paper we examine the subclass of univalent functions which is defined by quantum calculus.
Özkan Uçar, Hatice Esra +2 more
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Advanced Functional Materials, EarlyView.Automat optical inspection (AOI) techniques in semiconductor fabrication can be leveraged in battery manufacturing, enabling scalable detection and analysis of electrode‐ and cell‐level imperfections through AI‐driven analytics and a digital‐twin framework.
Jianyu Li, Ertao Hu, Wei Wei, Feifei Shi
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Shaping of Biohybrid Functional Living Materials
Advanced Functional Materials, EarlyView.This work demonstrates a strategy for shaping living mycelium into functional materials by directing its natural growth. Nanoparticles armor hyphae, micron‐scale particles entangle within the network, and printed hydrogel architectures steer expansion, creating defined geometries.
Sarah Schyck +3 more
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Bounded functions starlike with respect to symmetrical points
International Journal of Mathematics and Mathematical Sciences, 1996 Let P[A,B], −1 ...
Fatima M. Al-Oboudi
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Fekete-Szego Inequalities for Close-to-Convex Functions [PDF]
Proceedings of the American Mathematical Society, 1993 The author claims to extend work of the reviewer [Proc. Am. Math. Soc. 101, 89-95 (1987; Zbl 0635.35019) and Arch. Math. 49, 89-95 (1987; Zbl 0635.30020)] about the Fekete-Szegő problem of maximizing the functional \(| a_ 3-\mu a_ 2^ 2|\) (\(\mu\in\mathbb{R}\)) for close- to-convex functions of order \(\beta\geq 0\). Unfortunately he does not work with
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