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 ...

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 ...

Extending a result of Khavinson and $\acute{S}wi\cedil{a}tek$ (2003) we show that the rational harmonic function $\overline {r(z)} - z$, where r(z) is a rational function of degree n > 1, has no more ...

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 ...