Results 81 to 90 of about 24,583 (335)

On the coefficients of R-univalent functions [PDF]

Duke Mathematical Journal, 1955
(4) | an| < 41 di n, f(z) 5 d(I zI < 1). Because of d|I d 1/4, (4) is weaker than the Bieberbach conjecture but, as shown by the function f(z) =z(1 -Z)-2 =z+2z2+3z3+ (f(z)05-1/4), it would still be sharp. In the present note we shall show that the truth of Littlewood's conjecture (4) would follow from the proof of the asymptotic result (3).
openaire   +4 more sources

Coupling Interfacial Redox‐Reactions with In Situ Proton Generation for the Photoelectrochemical Separation of Rare‐Earth Elements

Advanced Functional Materials, EarlyView.
To enhance the sustainability of electrochemical separations for resource recovery, a photoelectrochemical ion recovery system is developed that utilizes renewable solar energy. A composite integrating titianium dioxide nanorods and a redox‐copolymer enables spontaneous cation adsorption and light‐activated redox reactions for regeneration, thus ...
Ki‐Hyun Cho, Wangsuk Oh, Melanie J. Fournier, Xiao Su   +3 more
wiley   +1 more source

On certain classes of close-to-convex functions

International Journal of Mathematics and Mathematical Sciences, 1993
A function f, analytic in the unit disk E and given by , f(z)=z+∑k=2∞anzk is said to be in the family Kn if and only if Dnf is close-to-convex, where Dnf=z(1−z)n+1∗f, n∈N0={0,1,2,…} and ∗ denotes the Hadamard product or convolution.
Khalida Inayat Noor
doaj   +1 more source

On a class of analytic functions closely related to starlike functions with respect to a boundary point

AIMS Mathematics, 2023
In this article, we introduce a new class of analytic functions in the open unit disc that are closely related to functions that are starlike with respect to a boundary point. For this new class of functions, we obtain representation theorem, interesting
Kamaraj Dhurai, Nak Eun Cho, Srikandan Sivasubramanian   +2 more
doaj   +1 more source

The Univalence Principle

Memoirs of the American Mathematical Society
The Univalence Principle is the statement that equivalent mathematical structures are indistinguishable. We prove a general version of this principle that applies to all set-based, categorical, and higher-categorical structures defined in a non-algebraic and space-based style, as well as models of higher-order theories such as topological spaces.
Ahrens, Benedikt, North, Paige Randall, Shulman, Michael, Tsementzis, Dimitris   +3 more
openaire   +3 more sources

Transducer Materials Mediated Deep Brain Stimulation in Neurological Disorders

Advanced Functional Materials, EarlyView.
This review discusses advanced transducer materials for improving deep brain stimulation (DBS) in neurological disorders. These materials respond to light, ultrasound, or magnetic fields, enabling precise, less invasive neuromodulation. Their stimulus‐responsive properties enhance neural control and adaptive therapy, paving the way for next‐generation ...
Di Zhao, Zhengyang Cao, Guangjun Zhong, Limin Shi, Junxia Xie, Jianhua Hao   +5 more
wiley   +1 more source

Hankel Inequalities for a Subclass of Bi-Univalent Functions based on Salagean type q-Difference Operator

Journal of Mathematical and Fundamental Sciences, 2020
In this investigation a new subclass of bi-univalent functions is established that is defined in the open unit disk Δ={𐌶 ∈ ℂ: |𐌶| < 1} and are endowed with the Sălăgean type q-difference operator.
Sibel Yalçın, Åžahsene Altınkaya, Gangadharan Murugusundaramoorthy, Kaliappan Vijaya   +3 more
doaj   +1 more source

Initial Coefficient Bounds for Certain New Subclasses of bi-Bazilevič Functions and Exponentially bi-Convex Functions with Bounded Boundary Rotation

Axioms, 2023
The objective of the present article is to introduce new subclasses of bi-Bazilevič functions, bi-quasi-convex functions and α-exponentially bi-convex functions involving functions with bounded boundary rotation of order ν.
Prathviraj Sharma, Srikandan Sivasubramanian, Nak Eun Cho   +2 more
doaj   +1 more source

Bohr Phenomenon for Locally Univalent Functions and Logarithmic Power Series [PDF]

Computational methods in Function Theory, 2019
In this article we prove Bohr inequalities for sense-preserving K-quasiconformal harmonic mappings defined in the unit disk D\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage ...
B. Bhowmik, Nilanjan Das
semanticscholar   +1 more source

Fluorinated Interphase Enabled by Lithium Salt‐Driven Electrical Double‐Layer Modulation for Advanced Zinc Metal Batteries

Advanced Functional Materials, EarlyView.
This study introduces a highly soluble, reduction‐active lithium salt into conventional zinc battery electrolytes, enhancing the solvation structure and electric double layer. These modifications significantly improve the reversibility of the zinc anode and mitigate cathode material dissolution, presenting a novel approach to enhancing the performance ...
Ziwei Zhao, Pengcheng Li, Yuxuan Wu, Ziwei Chai, Hao Zhang, Ge Li   +5 more
wiley   +1 more source