Results 101 to 110 of about 10,555,595 (364)

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

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

Univalent harmonic functions defined by Salagean integral operator with respect to symmetric points

Le Matematiche, 2012
In this paper, we define and investigate a subclass of univalent harmonic functions defined by Salagean integral operator with respect to symmetric points.
Sheza El-Deeb, M. K. Aouf, R. M. El-Ashwah, A. Shamandy   +3 more
doaj  

Inverse logarithmic coefficient bounds for starlike functions subordinated to the exponential functions

Journal of Inequalities and Applications
In recent years, many subclasses of univalent functions, directly or not directly related to the exponential functions, have been introduced and studied. In this paper, we consider the class of S e ∗ $\mathcal{S}^{\ast}_{e}$ for which z f ′ ( z ) / f ( z
Lei Shi, Muhammad Abbas, Mohsan Raza, Muhammad Arif, Poom Kumam   +4 more
doaj   +1 more source

On the Existence of Functions being Univalent in Half-plane together with their Derivatives

Nonlinear Analysis, 2001
In articles [1]-[3] a class of functions being univalent in unit disc with all their derivatives was investigated. It was proved such functions exist and must be the entire functions of exponential type.
J. Kirjackis
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

Membrane Semi‐Permeability and Ion Selectivity in Chemiosmosis: Open Systems Volume Dependence of Electrolyte Chemistry

Advanced Materials Interfaces, EarlyView.
Very small cellular compartments can break electroneutrality and harness proton gradients without active transport structures, whereas larger volumes cannot, underscoring why life's critical energy processes are confined in microscopic spaces. ABSTRACT The effect of pH changes in external ionic solutions on liposomes entrapping non‐permeable weak acid ...
Josep M. Ribó, Isabel Herreros, David Hochberg, Federico Morán, Michael Stich   +4 more
wiley   +1 more source

New Subclasses of Bi-Univalent Functions Associated with Exponential Functions and Fibonacci Numbers

مجلة بغداد للعلوم
Lewin discussed the class  of bi-univalent functions and obtained the bound for the second coefficient, Sakar and Wanas defined two new subclasses of bi-univalent functions and obtained upper bounds for the elementary coefficients |a2| and |a3| for ...
Majd Ayash, Hassan Baddour, Mohammad Ali, Abbas Kareem Wanas   +3 more
doaj   +1 more source

Initial Coefficients of Biunivalent Functions

Abstract and Applied Analysis, 2014
An analytic function f defined on the open unit disk is biunivalent if the function f and its inverse f-1 are univalent in 𝔻. Estimates for the initial coefficients of biunivalent functions f are investigated when f and f-1, respectively, belong to some ...
See Keong Lee, V. Ravichandran, Shamani Supramaniam   +2 more
doaj   +1 more source

Nonmulberry Silk Fibroin Doping Boosts Charge Transfer and Charge Injection in Aligned Polypyrrole‐Silk Scaffolds for Low‐Voltage Neurostimulation

Advanced Materials Interfaces, EarlyView.
Conductive silk‐polypyrrole scaffolds couple redox stability with cell‐affinitive peptides present innately in an endogenous silk fibroin, enabling optimized electrical stimulation to drive neurite outgrowth. Findings establish electrochemical‐biological link for biomaterial design rules for smart nerve guidance conduits that can provide low voltage ...
Rajiv Borah, Joseph Christakiran Moses, Jnanendra Upadhyay, Jitu Mani Das, Michael G. Monaghan, Biman B. Mandal   +5 more
wiley   +1 more source