Abstract. In this paper we define and verify a subclass of harmonic univalent functions involving the argument of complex-value functions of the form f = h + ¯g and investigate some properties of this subclass e.g. necessary and sufficient coefficient bounds, extreme points, distortion bounds and Hadamard product.Abstract. In this paper we define and verify a subclass of harmonic univalent func...

References [1] West MJ. New stereological methods for counting neurons. Analysis of cell death in the trochlear nucleus of the chick embryo: calibration of the optical dissector counting method reveals systematic bias. Differential tissue shrinkage and compression in the z-axis: implications for optical dissector counting in vibratome, plastic and cryosections. Use of cryostat sections from sna...

In a traditional speech recognition system, the distance score between a test token and a reference pattern is obtained by simply averaging the distortion sequence resulted from matching of the two patterns through a dynamic programming procedure. The final decision is made by choosing the one with the minimal average distance score. If we view the distortion sequence as a form of observed feat...

Echo-planar imaging (EPI) can provide rapid imaging by acquiring a complete k-space data set in a single acquisition. However, this approach suffers from distortion effects in geometry and intensity, resulting in poor image quality. The distortions, caused primarily by field inhomogeneities, lead to intensity loss and voxel shifts, the latter of which are particularly severe in the phase-encode...

2014 We study shear flow instabilities in nematic liquids of planar geometry (molecules parallel to the plates limiting the sample) and where molecules are aligned (along Ox) perpendicular to the shear flow direction (along Oy). An external magnetic field reinforces the alignement imposed by surface effects. We develop a bidimensional model which takes into account exactly boundary conditions o...

A further extension of the iteration method for beam propagation calculation is presented that can be applied for volume Bragg gratings (VBGs) with extremely large grating strength. A reformulation of the beam propagation formulation is presented for analyzing the reflection of a laser beam by a deformed VBG. These methods will be shown to be very accurate and efficient. A VBG with generic z-de...

We prove that various subgroups of the mapping class group Mod(Σ) of a surface Σ are at least exponentially distorted. Examples include the Torelli group (answering a question of Hamenstädt), the “point-pushing” and surface braid subgroups, and the Lagrangian subgroup. Our techniques include a method to compute lower bounds on distortion via representation theory and an extension of Johnson the...

Objectives: Pronation distortion syndrome is one of the common physical deformities, that causes distortions in the skeletal structures of the feet. The current study aimed to determine the effects of 12 weeks of systematic and functional corrective exercises on the body posture of students with pronation distortion syndrome.  Methods: In this quasi-experimental study, 30 volunteers suffering ...

Various function theorists have successfully defined and investigated different kinds of analytic functions. The applications such functions played significant roles in geometry theory as a field complex analysis. In this work, therefore, certain subclass univalent is using generalized differential operator we discussed \(TS_{\sigma, \delta} ^{~ \wp} (\vartheta ,\hbar ,\ell )\) with negative co...