Hypergeometric functions occupy a central role in mathematical analysis by encapsulating a diverse class of series that extend many classical functions. Equally, identities involving harmonic numbers ...

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 ...

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 ...

Harmonic univalent mappings are complex functions defined on the open unit disk that satisfy Laplace’s equation and exhibit a one-to-one correspondence between the domain and their image. These ...

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 ...