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 ...

The emphasis of this paper is on the complete representation of biharmonic functions in terms of harmonic functions for arbitrary bounded three-dimensional domains. The main result is contained in ...

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 ...

Motivated by a proof without words for the sum of the alternating harmonic series, this article delves into some interesting questions regarding a series to which the usual convergence tests do not ...