Results 121 to 130 of about 537,864 (334)
Univalent approximation by Fourier series of step functions [PDF]
arXivWe prove that univalent harmonic mappings can be approximated by univalent Fourier series of step functions.
arxiv
Geometric Properties of Partial Sums of Univalent Functions [PDF]
arXiv, 2012 The $n$th partial sum of an analytic function $f(z)=z+\sum_{k=2}^\infty a_k z^k$ is the polynomial $f_n(z):=z+\sum_{k=2}^n a_k z^k$. A survey of the univalence and other geometric properties of the $n$th partial sum of univalent functions as well as other related functions including those of starlike, convex and close-to-convex functions are presented.
arxiv
Advanced Materials Interfaces, EarlyView.In this work, a combination of 4D STEM phase reconstructions via iterative electron ptychography, spectroscopy, and conventional STEM imaging reveals detailed insights into the nucleation mechanism for the stable growth of Cu‐based delafossites on Al2O3 using CuCrO2 and CuFeO2 films grown via MBE as examples.
Anna Scheid +7 more
wiley +1 more source
AN EXTREMAL PROBLEM FOR UNIVALENT FUNCTIONS [PDF]
Analele Universităţii Constantin Brâncuşi din Târgu Jiu : Seria Economie, 2010 Let S be the class of functions f(z)=z+a2z 2 …, 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 .
Miodrag IOVANOV
doaj
High Fidelity Waveguides Through Vitreous Media Recomposition for Next Generation Photonic Devices
Advanced Optical Materials, EarlyView.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
Initial Coefficient Estimates for Bi-Univalent Functions Related to Generalized Telephone Numbers
Journal of MathematicsThis study defines three novel classes of bi-univalent functions connected to generalized telephone numbers for the first time. We produced assessments about the Taylor–Maclaurin coefficients a2 and a3 and Fekete–Szegö functional problems for functions ...
Gangadharan Murugusundaramoorthy +4 more
doaj +1 more source
Fekete-Szegö problem for certain classes of Ma-Minda bi-univalent functions [PDF]
arXiv, 2014 In the present work, we propose to investigate the Fekete-Szeg\"o inequalities certain classes of analytic and bi-univalent functions defined by subordination. The results in the bounds of the third coefficient which improve many known results concerning different classes of bi-univalent functions. Some interesting applications of the results presented
arxiv
From Photo‐Damage to Self‐Healing in Thin Film Pb‐Iodide Perovskites: Action at a Distance
Advanced Optical Materials, EarlyView.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
Subordination Properties of Bi-Univalent Functions Involving Horadam Polynomials
Journal of Function SpacesIn this research, we investigate a family of q-extensions defined on an open unit disk, which is based on bi-univalent functions associated with differential subordination.
Ebrahim Amini, Shrideh Al-Omari
doaj +1 more source