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 ...

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 ...

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 ...