We study functions which are the pointwise limit of a sequence of holomorphic functions. In one complex variable this is a classical topic, though we offer some new points of view and new results.

The monotone rearrrangement algorithm was introduced by Hardy, Littlewood and Pólya as a sorting device for functions. Assuming that x is a monotone function and that an estimate xn of x is given, ...

Technical Terms Statistical convergence: A form of convergence that considers the frequency of deviations rather than traditional uniform or pointwise limits.