Results 71 to 80 of about 23,628 (307)

Univalent functions and nonanalytic curves [PDF]

Proceedings of the American Mathematical Society, 1957
The two examples z+ (1 +e)z2/2 and z+(1 +e)z2/4 with e>0, show that the right sides of (2) and (3) cannot be increased without destroying respectively the starlikeness and convexity of the image regions. This theorem was first discovered by Alexander [I], but according to Remak [6], Alexander's proof contains an error.
openaire   +2 more sources

Molecularly Engineered Highly Stable Memristors with Ultra‐Low Operational Voltage: Integrating Synthetic DNA with Quasi‐2D Perovskites

Advanced Functional Materials, EarlyView.
Molecularly engineered memristors integrating Ag nanoparticle–embedded synthetic DNA with quasi‐2D halide perovskites enable ultra‐low‐operational voltage, forming‐free resistive switching, and record‐low power density. This synergistic integration of customized DNA and 2D OHP in bio‐hybrid architecture enhances charge transport, reduces variability ...
Kavya S. Keremane, Abhinav Gorthy, Luyao Zheng, Chiranth C Ravi, Haodong Wu, Jiamao Zheng, Neela H. Yennawar, Shashank Priya, Rashmi Jha, Bed Poudel   +9 more
wiley   +1 more source

Initial Coefficient Bounds for Bi-Close-to-Convex Classes of n-Fold-Symmetric Bi-Univalent Functions

Axioms
In 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, M. Çağlar, L. I. Cotirla, S. Sivasubramanian   +3 more
doaj   +1 more source

Estimates of logarithmic coefficients of univalent functions

International Journal of Mathematics and Mathematical Sciences, 1993
In this paper, we derive some consequences of Milin's inequallty for the logarithmic coefficients of a univalent function by exploiting a reformulation of it.
Stephen M. Zemyan
doaj   +1 more source

Univalence of Bessel functions [PDF]

Proceedings of the American Mathematical Society, 1960
In particular we shall first determine a radius of univalence for the normalized Bessel functions [J,(z) ]1Iv for values of v belonging to the region G defined by the inequalities (i v} >0, I arg v|
openaire   +1 more source

Ultrasound‐Triggered Gelation for Restoring Biomechanical Properties of Degenerated Functional Spinal Units

Advanced Healthcare Materials, EarlyView.
This study introduces an innovative approach to treating intervertebral disc degeneration using ultrasound‐triggered in situ hydrogel formation. Proof‐of‐concept experiments using optimized biomaterial and ultrasound parameters demonstrate partial restoration of biomechanical function and successful integration into degenerated disc tissue, offering a ...
Veerle A. Brans, Anna P. Constantinou, Matthew J. Kibble, Valeria Nele, Daniel Reumann, Luca Bau, Sebastien J. P. Callens, James P. K. Armstrong, Nicolas Newell, Constantin C. Coussios, Molly M. Stevens, Michael D. Gray   +11 more
wiley   +1 more source

Pioneering the Future: Principles, Advances, and Challenges in Organic Electrodes for Aqueous Ammonium‐Ion Batteries

Advanced Materials, Volume 37, Issue 13, April 2, 2025.
Leveraging the numerous advantages of ammonium‐ion (NH₄⁺)—including cost‐effectiveness, low corrosiveness, preferential orientation, and rapid diffusion kinetics—aqueous NH₄⁺ batteries (AAIBs) have gained significant attention. This review highlights and evaluates the progress of AAIBs utilizing organic electrode materials such as small molecules ...
Mangmang Shi, Xiaoyan Zhang
wiley   +1 more source

Novel Bi-Univalent Subclasses Generated by the q-Analogue of the Ruscheweyh Operator and Hermite Polynomials

Mathematics
This work introduces new bi-univalent function classes defined using the fractional q-Ruscheweyh operator and characterized by subordination to q-Hermite polynomials.
Feras Yousef, Tariq Al-Hawary, Mohammad El-Ityan, Ibtisam Aldawish   +3 more
doaj   +1 more source

Intrinsically Disordered Protein‐Inspired Nanovector‐Based Coacervates for the Direct Cytosolic Transport of Biomacromolecules

Advanced Materials, EarlyView.
Intrinsically disordered protein‐inspired nanovectors (IDP‐NVs) form stable nanocoacervates (NCs) with diverse biomacromolecules. In situ conformational changes confer stability and adaptability to NCs under dynamically changing physiological conditions.
Soyeong Jin, Hyemin Park, Seuk‐Min Ryu, Dagyeong Guk, Jaeeun Lee, Seongeon Jin, Changjoon Keum, Jinyoung Park, Myoung‐Hwan Park, Chaekyu Kim, Hojun Kim, Jaegeun Noh, Kwan Hyi Lee, Ja‐Hyoung Ryu, Youngdo Jeong   +14 more
wiley   +1 more source

Opportunities of Semiconducting Oxide Nanostructures as Advanced Luminescent Materials in Photonics

Advanced Materials, EarlyView.
The review discusses the challenges of wide and ultrawide bandgap semiconducting oxides as a suitable material platform for photonics. They offer great versatility in terms of tuning microstructure, native defects, doping, anisotropy, and micro‐ and nano‐structuring. The review focuses on their light emission, light‐confinement in optical cavities, and
Ana Cremades, Pedro Hidalgo, David Maestre, Ruth Martínez‐Casado, Emilio Nogales, Beatriz Rodríguez, G. Cristian Vásquez, Bianchi Méndez   +7 more
wiley   +1 more source