in the present paper, we prove subordination, superordination and sandwich-type properties of a certain integral operators for univalent functions on open unit disc, moreover the special behavior of this class is investigated.

Let f be a polynomial of degree d ≥ 2 in the complex plane and consider the following statements: (A d) " If f has a fixed Siegel disk ∆ of bounded type rotation number, then ∂∆ is a quasicircle passing through some critical point of f. " (B d) " If f has a fixed Siegel disk ∆ such that ∂∆ is a quasicircle passing through some critical point of f , then the rotation number of ∆ is bounded type....

K. I. Noor, W. Ul-Haq, M. Arif, and S. Mustafa Department of Mathematics, COMSATS Institute of Information Technology, 44000 Islamabad, Pakistan Correspondence should be addressed to M. Arif, [email protected] Received 6 January 2009; Revised 6 March 2009; Accepted 19 March 2009 Recommended by Narendra Kumar Govil We establish a relation between the functions of bounded boundary and bounded ...

Simulations of motion by mean curvature in bounded domains, with applications to bubble motion and grain growth, rely upon boundary conditions that are only approximately compatible with the equation of motion. Three closed form solutions for the problem exist, governing translation, rotation and expansion of a single interface [1], providing the only benchmarks for algorithm verification. We d...

In this research, the effect of rotation on the free vibration is investigated for the size-dependent cylindrical functionally graded (FG) nanoshell by means of the modified couple stress theory (MCST). MCST is applied to make the design and the analysis of nano actuators and nano sensors more reliable. Here the equations of motion and boundary conditions are derived using minimum potential ene...

Extended Abstract. The study of truncated parameter space in general is of interest for the following reasons: 1.They often occur in practice. In many cases certain parameter values can be excluded from the parameter space. Nearly all problems in practice have a truncated parameter space and it is most impossible to argue in practice that a parameter is not bounded. In truncated parameter...

The hydromagnetic Couette flow of a viscous incompressible electrically conducting fluid bounded by two infinite parallel non-conducting plates in the presence of a uniform transverse magnetic field is studied on taking Hall currents into account. The relevant equations are solved analytically. The solution obtained shows that the inclusion of Hall currents gives some interesting results. It is...

1. INTRODUCTION. A cycloid is the path traced by a point on the boundary of a circular disk that rolls without slipping along a straight line. It forms a sequence of arches resting on the line, as shown in Figure 1. It is known that the area of the shaded region below one arch is three times the area of the rolling disk. Our analysis shows that the factor 3 reflects a much deeper property of cy...