Results 91 to 100 of about 5,934,786 (218)
Estimates for the Initial Coefficients of Bi-univalent Functions
, 2016 [[abstract]]A bi-univalent function is a univalent function defined on the unit disk for which the inverse function has a univalent extension to the unit disk. The paper of H. M. Srivastava, A. K. Mishra and P.
Virendra Kumar +2 more
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Certain classes of bi-univalent functions with bounded boundary variation
, 2017 In their pioneering work dated 2010 on the subject of bi-univalent functions, Srivastava et al. actually revived the study of the coefficient problems involving bi-univalent functions in recent years. Inspired by the pioneering work of Srivastava et Hi.,
ORHAN, Halit +5 more
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ENERGY &ENVIRONMENTAL MATERIALS, EarlyView.As a metalloid with broad prospects in advanced applications, Te has not been fully clarified in terms of its intricate electrochemical behaviors across varied systems. This review systematically integrates fundamental electrochemical mechanisms, reaction kinetics identifications, and device application insights, establishing a comprehensive framework ...
Meng Zhang +6 more
wiley +1 more source
An extremal problem for univalent functions [PDF]
Let S be the class of functions f(z)=z+a2z2 ,… f(0)=0, f′(0)=1 which are regular and univalent in the unit disk |z| x the equation φ′( x)=0 does not have real roots. Since S is a compact class, there exists x . This problem was first proposed by Petru T.
Miodrag IOVANOV
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The Birnessite Structure: A Versatile Electrode Platform for Advanced Electrochemical Energy Storage
ENERGY &ENVIRONMENTAL MATERIALS, EarlyView.Birnessite attracts considerable attention for electrochemical energy storage owing to its layered structure, natural abundance, and environmentally friendliness. This review systematically summarizes its synthesis mechanisms, modification strategies, and applications across diverse energy storage systems.
Tong Wang +8 more
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Initial Coefficient Bounds for Bi-Close-to-Convex Classes of n-Fold-Symmetric Bi-Univalent Functions
AxiomsIn this article, the strong class of bi-close-to-convex functions of order α and β in n-fold symmetric bi-univalent functions, which is the subclass of σ, is introduced.
P. Gurusamy +3 more
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ENERGY &ENVIRONMENTAL MATERIALS, EarlyView.Recent advances in carbon‐based anodes for alkali metal‐ion batteries are critically reviewed, with emphasis on biphenylene and other emerging carbon allotropes. Biphenylene exhibits exceptional theoretical electrochemical properties beyond conventional graphite, highlighting its strong potential as a next‐generation anode material once scalable ...
Adewale Hammed Pasanaje, Nirpendra Singh
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The (p, q)-chebyshev polynomial bounds of a general bi-univalent function class
, 2020 In the present paper, we will define the bi-univalent function class S.,mu S ( p, q) related to the ( p, q)-Chebyshev polynomials. Then we will derive the ( p, q)-Chebyshev polynomial bounds for the initial coefficients and determine Fekete-Szego ...
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Electron, EarlyView.This review presents an in‐depth analysis of employing the MXenes electrodes in advancing ion‐selective capacitive deionization technologies, by exploring various strategies to achieve the desired selectivity. It highlights the critical challenges that hinder scalability and practical implementation. The review showcases the future opportunities toward
Rahat Alam +3 more
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On the Fekete-Szegö problem for classes of bi-univalent functions
Bulletin of the Belgian Mathematical Society - Simon Stevin, 2014 Let \(\mathcal{S}\) denote the class of univalent functions in the unit disk \(\mathbb{D}\) of the form \(f(z) = z + a_2 z^2 + \cdots\). Following \textit{M. Lewin} [Proc. Am. Math. Soc. 18, 63--68 (1967; Zbl 0158.07802)], the author denotes by \(\sigma\) the class of bi-univalent functions, i.e., the class of functions \(f\) for which both \(f\) and \(
openaire +3 more sources