For a meromorphic function $f$ in the complex plane, we shall introduce the definition of five-value rich line of $f$, and study the uniqueness of meromorphic functions of finite order in an angular domain by involving the five-value rich line and Borel directions. Finally, the relationship between a five-value rich line and a Borel direction is discussed, that is, every Borel direction of $f$ ...

In this study, the second type of Green and Naghdi's thermoelasticity theory is applied to present the vibration of a nanobeam subjected to rectified sine wave heating based upon the nonlocal thermoelasticity theory. Both Young's modulus and thermal conductivity are considered to be linear functions of the temperature. The Laplace transform domain is adopted to solve the governing partial diffe...

This paper explores the use of Spherical Harmonics to represent the reflectance function of a 3D surface with known geometry. It is shown that reflectance can be conceived of as a convolution in the angular domain. Spherical Harmonics are used to define a frequency domain in which convolution in the angular domain is equivalent to multiplication in the spherical harmonic frequency domain. This ...

By using Tsuji's characteristic, we investigate uniqueness of meromorphic functions in an angular domain dealing with the shared set, which is different from the set of the paper (Lin et al., 2006) and obtain a series of results about the unique range set of meromorphic functions in angular domain.

One of the most promising ways to provide significant capacity gains in personal wireless networks, is to utilize adaptive antenna systems. These provide high interference and noise suppression capabilities. For most applications 2D descriptions are sufficient as largely only linear antenna arrays will used in 1 generation implementations. Thus, this paper will focus on 2D directional metrics. ...