Harmonic mappings and logharmonic functions occupy a central role in complex analysis and applied mathematics. Harmonic mappings are functions that satisfy Laplace’s equation and are frequently ...

https://doi.org/10.4169/amer.math.monthly.124.6.535 https://www.jstor.org/stable/10.4169/amer.math.monthly.124.6.535 We investigate functions with the property that ...

Bohr inequalities, originating from Harald Bohr’s seminal work, establish bounds on the absolute convergence of power series in the unit disk. These inequalities assert that, for analytic functions ...

Coming to grips with the semantics and vocabulary that apply to “distortion” takes a little discipline, but it isn’t all that intimidating. All you need is a little patience to go over the relevant ...

We study the Dirichlet problem for discrete harmonic functions in unbounded product domains on multidimensional lattices. First we prove some versions of the Phragmén-Lindelöf theorem and use Fourier ...

Mathematicians Dr. Arvin Lamando of the University of the Philippines – Diliman College of Science’s Institute of Mathematics (UPD-CS IM) and Dr. Henry McNulty of the Norwegian University of Science a ...