Real and complex analytic functions are largely studied in the field of complex analysis and are seen as very useful tools in solving problems in mathematics, physics and engineering. Real and complex ...

The interrelation between analytic functions and real-valued functions is formulated in the work. It is shown such an interrelation realizes nonlinear representations for real-valued functions that ...

We present an elementary method to obtain Green's functions in non-perturbative quantum field theory in Minkowski space from calculated Green's functions in Euclidean space. Since in non-perturbative ...

Humboldt-Universitüt Berlin, Institut für Physik, Nichtklassische Strahlung (MPG), Berlin, Germany. in the complex plane and in extension that all zeros are simple zeros [2] - [17] (with extensive ...

This is a preview. Log in through your library . Abstract Hilbert formulas for an r-analytic function, defined by a generalized Cauchy-Riemann system in the domain exterior to the contour of a spindle ...

The Riemann Hypothesis remains one of mathematics’ most enduring and influential conjectures, proposing that all nontrivial zeros of the Riemann zeta function lie on the critical line where the real ...