Results 91 to 100 of about 517,230 (334)
Some new inequalities for univalent functions [PDF]
By use of a modified Nunokawa's lemma, we obtain some new conditions for univalence. Also, some sharp inequalities concerning univalent functions are presented.
arxiv
Abstract This comment refers to the data presented in this paper “M. Han, H. Kim, C. Leal, M. Negrito, J. D. Batteas, R. M. Espinosa‐Marzal, Insight into the Electrical Double Layer of Ionic Liquids Revealed through Its Temporal Evolution. Adv. Mater. Interfaces 2020, 7, 2001313. https://doi.org/10.1002/admi.202001313” and proposes the potential origin
Rosa M. Espinosa‐Marzal, Cecilia Leal
wiley +1 more source
Construction of subclasses of univalent harmonic mappings [PDF]
Complex-valued harmonic functions that are univalent and sense-preserving in the open unit disk are widely studied. A new methodology is employed to construct subclasses of univalent harmonic mappings from a given subfamily of univalent analytic functions. The notion of harmonic Alexander integral operator is introduced.
arxiv
This work demonstrates that wavelength selective reflection of circularly polarized light (CPL) of both handedness (right‐R or left‐L) can be achieved from self‐assembled cellulose nanocrystals (CNCs), breaking the inherent limitation of obtaining only L‐CPL reflection.
Alexandre Fonseca+7 more
wiley +1 more source
Sufficient conditions for univalence of analytic functions [PDF]
The article discusses criteria for univalence of analytic functions in the unit disc. Various families of analytic functions depending on real parameters are considered. A unified method for creating new sets of conditions ensuring univalence is presented. Applying this method we are able to find several families of new sharp criteria for univalence.
arxiv
Properties of Functions Involving Struve Function
Let f ( z ) = z + ∑ n = 2 ∞ a n z n and g p , b , c ( z ) = z + ∑ n = 2 ∞ ( − c 4 ) n − 1 ( 3 2 ) n − 1 ( k ) n − 1 z n with
Jonathan Aaron Azlan Mosiun+1 more
doaj +1 more source
High Fidelity Waveguides Through Vitreous Media Recomposition for Next Generation Photonic Devices
A newly designed aluminosilicate glass enables the fabrication of femtosecond laser‐written optical waveguides with ultra‐low propagation losses of −0.020 dB cm−1 at 1310 nm and −0.037 dB cm−1 at 1550 nm. Raman, Brillouin, and electron microscopy analyses reveal the mechanisms behind refractive index modifications, highlighting the role of glass ...
T Toney Fernandez+9 more
wiley +1 more source
Univalent functions with positive coefficients involving Touchard polynomials [PDF]
The purpose of the present paper is to establish connections between various subclasses of analytic univalent functions by applying certain convolution operator involving Touchard polynomials. To be more precise, we investigate such connections with the classes of analytic univalent functions with positive coefficients in the open unit disk U.
arxiv
The radius of convexity of certain analytic functions II
In [2], MacGregor found the radius of convexity of the functions f(z)=z+a2z2+a3z3+…, analytic and univalent such that |f′(z)−1|
J. S. Ratti
doaj +1 more source
From Photo‐Damage to Self‐Healing in Thin Film Pb‐Iodide Perovskites: Action at a Distance
Fluorescence imaging uncovers pronounced spatial and temporal changes in photoluminescence of halide perovskite films following laser‐induced damage. Modifications spatially extend well beyond the illuminated region and evolve over distinct time scales ranging from seconds to many hours, revealing material‐specific self‐healing pathways. These findings
Yahel Soffer+4 more
wiley +1 more source