Results 101 to 110 of about 63,681 (326)
On Some Problems of Strongly Ozaki Close-to-Convex Functions
Journal of Function Spaces, 2020 The purpose of the current paper is to investigate some geometric properties of the class FOν,γ, called strongly Ozaki close-to-convex functions, such as strongly starlikeness and close-to-convexity.
Zahra Maleki +3 more
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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.A spatiotemporal plasma–mediated laser processing approach is developed to fabricate ultrahigh–aspect ratio nanochannel arrays and corresponding perovskite nanowire arrays within transparent materials for optoelectronics devices. The laser‐fabricated nanochannels serve as templates for controlled perovskite infiltration and crystallization, enabling ...
Taijin Wang +3 more
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Properties of Functions Formed Using the Sakaguchi and Gao-Zhou Concept
Mathematics, 2020 This paper introduces a new class related to close-to-convex functions denoted by K s k , N . This class is based on combining the concepts of starlike functions with respect to N-ply symmetry points of the order α , introduced by ...
Jonathan Aaron Azlan Mosiun +1 more
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Study of Generalized q-Close-to-Convex Functions Related to Parabolic Domain
Journal of Function Spaces, 2023 The concepts of bounded boundary rotation and parabolic domain are used to define certain new classes of analytic functions such as V1,qm,g, R1,qm,g, T1,qm,g, and Q1,qγm,g,a. The difference of coefficients, necessary conditions, distortion bounds, radius
Khalida Inayat Noor +4 more
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Advanced Functional Materials, EarlyView.Viscoelasticity‐driven instabilities are harnessed to create tunable, periodic textures in 3D‐printed liquid crystalline polymers. This study illustrates how processing parameters control these spontaneous meso‐scale patterns. These unique structural architectures unlock new possibilities for functional devices, ranging from photonic components to ...
Miaomiao Zou +17 more
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A new subclass of close-to-convex functions [PDF]
Surveys in Mathematics and its Applications, 2016 In this work, we introduce and investigate an interesting subclass Xt(γ) of analytic and close-to-convex functions in the open unit disk U. For functions belonging to the class Xt(γ), we drive several properties including coefficient estimates ...
J. K. Prajapat
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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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Broadband, Flexible, Skin‐Compatible Carbon Dots/Graphene Photodetectors for Wearable Applications
Advanced Functional Materials, EarlyView.Broadband, flexible photodetectors integrating nitrogen‐rich carbon dots with single‐layer graphene on plastic substrates are demonstrated. A biocompatible chitosan–glycerol electrolyte enables efficient low‐voltage gating and on‐skin operation. The devices exhibit ultraviolet‐to‐near‐infrared response, mechanical robustness under bending, and verified
Nouha Loudhaief +20 more
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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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