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 ...

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 ...

Lie groups provide a natural framework for describing continuous symmetries in both mathematics and physics. These groups, which are simultaneously smooth manifolds, allow for the integration of ...

In the early nineteenth century, the French mathematical physicist Joseph Fourier showed that many mathematical functions can be represented as the weighted sum of a series of sines and cosines of ...

American Journal of Mathematics, Vol. 124, No. 5 (Oct., 2002), pp. 1045-1057 (13 pages) In this paper, we prove the following theorem: Any harmonic functions in Bergman type metrics in the polydisc in ...

This course is available on the BSc in Business Mathematics and Statistics, BSc in Mathematics and Economics, BSc in Mathematics with Economics and BSc in Mathematics, Statistics and Business. This ...