We are interested in finding bounds on the growth of functions f and related issues, if there are known some properties of If on 𝕌. Our main tool in accomplishing this connection is Jack’s lemma. As ...

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 ...