In this article we define a class of starlike functions with respect to symmetric points in the domain sine function. Also, investigate coefficients bounds and upper for third order Hankel determinant defined class. We also evaluate Zalcman functional \(|a_{3}^{2}-a_{5}|\). Specializing parameters, improve functions.

many steps of seismic data processing sequence suppose that data sets are sampled in time and spatial dimensions uniformly. today, this assumption is true but only in time dimension. modern seismic exploration equipment permits seismic data sets to be sampled uniformly and densely in time dimension. however, along spatial dimension uniform and dense sampling are not possible because of operatin...

Estimates of various cardinal functions defined on a hyperspace equipped with the locally finite topology are given. The locally finite topology on a hyperspace is the natural generalization of the well-known Vietoris or finite topology. Recently some authors (see [1 and 9]) have investigated its properties finding interesting relationships with the Hausdorff metric topology, when the base spac...

A number of two-dimensional(2D) critical phenomena can be described in terms of the 2D sine-Gordon model. With the bosonization, several 1D quantum systems are also transformed to the same model. However, the transition of the 2D sine-Gordon model, Berezinskii-KosterlitzThouless(BKT) transition, is essentially different from the second-order transition. The divergence of the correlation length ...

In this paper the quantum direct scattering problem is solved for the Sine-Gordon model. Correlators of the Jost functions are derived by the angular quantization method. November, 93 † On leave of absence from L.D. Landau Institute for Theoretical Physics, Kosygina 2, Moscow, Russia ∗ e-mail address: [email protected]

An incidence of a left superior vena cava with a left azygos vein was found in a cadaver during an Osaka Dental University student's dissection practice session in 2002. The left superior vena cava began from the confluence between the right and left brachiocephalic veins, and extended directly into the left superior edge of the coronary sinus. No right superior vena cava was observed. The left...