Harmonic univalent mappings are complex functions defined on the open unit disk that satisfy Laplace’s equation and exhibit a one-to-one correspondence between the domain and their image. These ...

TL;DR: We show how the relation of convolution, circulant matrices and the Fourier transform generalizes to the quaternionic domain. A Lipschitz constant bounding application acts as a ...

Abstract: Some additional properties of g-Mellin convolution of two real functions are shown. The algebraic properties: commutativity, associativity, associativity with scalar pseudo-multiplication, ...

ABSTRACT: Making use of a linear operator Iλp(a,c), which is defined here by means of the Hadamard product (or convolution), we introduce some new subclasses of multivalent functions and investigate ...

For functions that are best described with spherical coordinates, the three-dimensional Fourier transform can be written in spherical coordinates as a combination of spherical Hankel transforms and ...

For functions that are best described in terms of polar coordinates, the two-dimensional Fourier transform can be written in terms of polar coordinates as a combination of Hankel transforms and ...

An illustration of a magnifying glass. An illustration of a magnifying glass.

In theory, the linear operations must satisfy the superposition principle. For DTFT it looks like similar to Equation 1. Equation 1. So to validate this, we have to define two signals, take their ...

The determination of aquifers transmissivity (T) and storage coefficient (S) is based on the observation of aquifer's response to a given stimulation. In order to characterize hydrogeological systems, ...