Harmonic functions, defined as twice continuously differentiable functions satisfying Laplace’s equation, have long been a subject of intense study in both pure and applied mathematics. Their ...

This is a preview. Log in through your library . Abstract A continuous function on the complex plane is harmonic if and only if the span of its compositions with entire functions is not dense in the ...

For most of us, harmonic describes a set of musical notes that produce a pleasing sound, or it describes a state of contentment. For Associate Professor of Mathematics Katharine Ott, harmonic ...

Let X be an age-dependent branching process with lifetime distribution G and age-dependent generating function π (y,s)=∑k=0 ∞ pk(y)sk. We assume that G is right-continuous and G(0+)=G(0)=0. The base ...