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 Analyses of geostatistical data are often based on the assumption that the spatial random field is isotropic. This assumption, if erroneous, ...

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 ...

Amid the chaos of revolutionary France, one man’s mathematical obsession gave way to a calculation that now underpins much of ...