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...

The object of this paper is to initiate a study of the Fourier coefficients of a weight one harmonic Maass form and relate them to the complex Galois representation associated to a weight one newform, which is the form’s image under a certain differential operator. In this paper, our focus will be on weight one dihedral newforms of prime level p ≡ 3 (mod 4). In this case we give properties of t...

The harmonic function F exp(j2rvt) plays an important role in science and engineering. It has frequency v and complex amplitude F. Its real part IFIcos(2~vt + arg{F}) is a cosine function with amplitude jF( and phase arg{F}. The variable t usually represents time; the frequency v has units of cycles/s or Hz. The harmonic function is regarded as a building block from which other functions may be...

Europhysics Letters (EPL) has a new online home at www.epljournal.org Take a look for the latest journal news and information on: • reading the latest articles, free! • receiving free e-mail alerts • submitting your work to EPL Abstract – Ramanujan sums are exponential sums with exponent defined over the irreducible fractions. Until now, they have been used to provide converging expansions to s...

Lateral shearing interferometry is a simple and accurate method of measuring the shape of an optical wave front. However, the complex mathematics required in reduction of the interferograms has limited the adoption of this interferometric technique. A data reduction technique using Fourier analysis methods has been developed which makes lateral shearing interferogram reduction more flexible. Th...

The aim of the General Shape Analysis (GSA) is to find one or a few most similar general templates for a processed object — exact identification is not performed, but the general shape features are obtained. The GSA approach may be applied for coarse separation of objects in the database prior to their classification or in the case when the data are incomplete or there is a high variability wit...

This paper describes a new model-based segmentation technique combining desirable properties of physical models (snakes, 2]), shape representation by Fourier parametrization (Fourier snakes, 12]), and modelling of natural shape variability (eigenmodes, 7, 10]). Flexible shape models are represented by a parameter vector describing the mean contour and by a set of eigenmodes of the parameters ch...