Results 41 to 50 of about 329,116 (290)
Distortion Theory of Biunivalent Holomorphic Functions
AxiomsBiunivalent holomorphic functions form an interesting class in geometric function theory and are associated with special functions and solutions of complex differential equations.
Samuel L. Krushkal
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Certain convex harmonic functions
International Journal of Mathematics and Mathematical Sciences, 2002 We define and investigate a family of complex-valued harmonic convex univalent functions related to uniformly convex analytic functions. We obtain coefficient bounds, extreme points, distortion theorems, convolution and convex combinations for this ...
Yong Chan Kim +2 more
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Advanced Functional Materials, EarlyView.Here, we develop a high‐throughput algorithm that accelerates the elucidation of phase diagrams of topological spin textures using limited computational resources at high numerical accuracy. Applying this framework to the van der Waals magnet CrSBr, we unveiled a hierarchy of previously unknown topological textures (domain‐wall bimerons, bimeron chains,
Andrew Lyall +4 more
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On Certain Subclasses of Analytic Functions Defined by Differential Subordination
International Journal of Mathematics and Mathematical Sciences, 2011 We introduce and study certain subclasses of analytic functions which are defined by differential subordination. Coefficient inequalities, some properties of neighborhoods, distortion and covering theorems, radius of starlikeness, and convexity for these
Hesam Mahzoon
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Harmonic Starlike Functions with Respect to Symmetric Points
Axioms, 2019 In the paper we define classes of harmonic starlike functions with respect to symmetric points and obtain some analytic conditions for these classes of functions.
Nak Eun Cho, Jacek Dziok
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The Distortion Theorem for quasiconformal mappings, Schottky’s Theorem and holomorphic motions [PDF]
Proceedings of the American Mathematical Society, 1997 We prove the equivalence of Schottky’s theorem and the distortion theorem for planar quasiconformal mappings via the theory of holomorphic motions. The ideas lead to new methods in the study of distortion theorems for quasiconformal mappings and a new proof of Teichmüller’s distortion theorem.
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Advanced Functional Materials, EarlyView.The mantis shrimp telson reveals how ridged biological shields control deformation under impact. Inspired by this architecture, telson‐inspired ridged curved shells transform ridge geometry and macroscopic curvature into bidirectional snap‐through, tunable stiffness, and enhanced hysteretic energy dissipation for multifunctional architected materials ...
Phani Saketh Dasika +5 more
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Distortion theorems for functions schlicht in an annulus.
Journal für die reine und angewandte Mathematik (Crelles Journal), 1987 Let \(R:=\{w:\rho
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A Sharp Form of the Ahlfors' Distortion Theorem, with Applications [PDF]
Transactions of the American Mathematical Society, 1984 The constant appearing in the asymptotic version of the Ahlfors’ distortion theorem is 1 1 . Also it is shown that for mean
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Advanced Materials, EarlyView.Stacked nanoflake assembly (SNA) membranes can oscillate autonomously, offering opportunities for soft actuation and energy harvesting. This work uncovers the physical mechanism behind the sustained oscillation of SNA membranes in gradient humidity and identifies three governing dimensionless parameters, enabling rational design for optimizing SNA ...
Zijing Zhang +5 more
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