Displaying 181 – 200 of 2726

Showing per page

A subclass of harmonic functions with varying arguments defined by Dziok-Srivastava operator

G. Murugusundaramoorthy, Kaliappan Vijaya, Ravinder Krishna Raina (2009)

Archivum Mathematicum

Making use of the Dziok-Srivastava operator, we introduce a new class of complex valued harmonic functions which are orientation preserving and univalent in the open unit disc and are related to uniformly convex functions. We investigate the coefficient bounds, distortion inequalities and extreme points for this generalized class of functions.

A Test for the Stability of Networks

Agnieszka Rowinska-Schwarzweller, Christoph Schwarzweller (2013)

Formalized Mathematics

A complex polynomial is called a Hurwitz polynomial, if all its roots have a real part smaller than zero. This kind of polynomial plays an all-dominant role in stability checks of electrical (analog or digital) networks. In this article we prove that a polynomial p can be shown to be Hurwitz by checking whether the rational function e(p)/o(p) can be realized as a reactance of one port, that is as an electrical impedance or admittance consisting of inductors and capacitors. Here e(p) and o(p) denote...

Currently displaying 181 – 200 of 2726