The characterization of orders for regular functions

1992 ◽  
Vol 111 (2) ◽  
pp. 299-307 ◽  
Author(s):  
C. N. Linden
Keyword(s):  
Unit Disk ◽  
Regular Functions ◽  
Logarithmic Means ◽  
Image Position

For a given function f, regular in the unit disk D(0, 1), logarithmic means of order p may be defined in terms of integrals by the formulaefor 0 < p < , and bywhen 0 < r < 1. Associated p-orders are subsequently defined byfor 0 < p .

scholarly journals Singular perturbations of the unicritical polynomials with two parameters

2016 ◽  
Vol 37 (6) ◽  
pp. 1997-2016 ◽  
Author(s):  
YINGQING XIAO ◽  
FEI YANG
Keyword(s):  
Julia Set ◽  
Dynamical Behavior ◽  
Rational Maps ◽  
Topological Properties ◽  
Fatou Set ◽  
The Family ◽  
Image Position ◽  
Two Parameters ◽  
Unicritical Polynomials

In this paper, we study the dynamics of the family of rational maps with two parameters $$\begin{eqnarray}f_{a,b}(z)=z^{n}+\frac{a^{2}}{z^{n}-b}+\frac{a^{2}}{b},\end{eqnarray}$$ where $n\geq 2$ and $a,b\in \mathbb{C}^{\ast }$. We give a characterization of the topological properties of the Julia set and the Fatou set of $f_{a,b}$ according to the dynamical behavior of the orbits of the free critical points.

Synthesis and characterization of Ni incorporated titanium dioxide thin films

2018 ◽  
Vol 33 (24) ◽  
pp. 4165-4172 ◽  
Author(s):  
Deepak Kumar ◽  
Prasanta Mandal ◽  
Anil Singh ◽  
Charu Pant ◽  
Sudesh Sharma
Keyword(s):  
Thin Films ◽  
Titanium Dioxide ◽  
Synthesis And Characterization ◽  
Titanium Dioxide Thin Films ◽  
Image Position

Abstract

Deposition and characterization of nanostructured Cu2O thin-film for potential photovoltaic applications

2013 ◽  
Vol 28 (13) ◽  
pp. 1740-1746 ◽  
Author(s):  
Nishant Gupta ◽  
Rajendra Singh ◽  
Fan Wu ◽  
Jagdish Narayan ◽  
Colin McMillen ◽  
...  
Keyword(s):  
Thin Film ◽  
Photovoltaic Applications ◽  
Cu2o Thin Film ◽  
Image Position

Abstract

On BMOA for Riemann Surfaces

1981 ◽  
Vol 33 (5) ◽  
pp. 1255-1260 ◽  
Author(s):  
Thomas A. Metzger
Keyword(s):  
Analytic Function ◽  
Unit Disk ◽  
Complex Plane ◽  
Riemann Surfaces ◽  
Hardy Class ◽  
Image Position

Let Δ denote the unit disk in the complex plane C. The space BMO has been extensively studied by many authors (see [3] for a good exposition of this topic). Recently, the subspace BMOA (Δ) has become a topic of interest. An analytic function f, in the Hardy class H2(A), belongs to BMOA (Δ) if(1)whereIt is known (see [3, p. 96]) that (1) is equivalent to(2)

scholarly journals Characterization of swift heavy ion irradiation damage in ceria

2015 ◽  
Vol 30 (9) ◽  
pp. 1473-1484 ◽  
Author(s):  
Clarissa A. Yablinsky ◽  
Ram Devanathan ◽  
Janne Pakarinen ◽  
Jian Gan ◽  
Daniel Severin ◽  
...  
Keyword(s):  
Ion Irradiation ◽  
Heavy Ion ◽  
Irradiation Damage ◽  
Swift Heavy Ion Irradiation ◽  
Heavy Ion Irradiation ◽  
Swift Heavy Ion ◽  
Image Position

Abstract

Synthesis and characterization of germanium-centered three-dimensional crystalline porous aromatic framework

2012 ◽  
Vol 27 (10) ◽  
pp. 1417-1420 ◽  
Author(s):  
Ye Yuan ◽  
Jia Liu ◽  
Hao Ren ◽  
Xiaofei Jing ◽  
Wei Wang ◽  
...  
Keyword(s):  
Three Dimensional ◽  
Synthesis And Characterization ◽  
Porous Aromatic Framework ◽  
Image Position

Abstract

Micro-Raman characterization of Ge diffusion and Si stress change in thin epitaxial Si1−xGex layers on Si(100) after rapid thermal annealing

2012 ◽  
Vol 27 (9) ◽  
pp. 1314-1323 ◽  
Author(s):  
Chun-Wei Chang ◽  
Min-Hao Hong ◽  
Wei-Fan Lee ◽  
Kuan-Ching Lee ◽  
Li-De Tseng ◽  
...  
Keyword(s):  
Thermal Annealing ◽  
Rapid Thermal Annealing ◽  
Stress Change ◽  
Image Position ◽  
Raman Characterization

Abstract

Sign in / Sign up

Export Citation Format

Share Document