Properties of a class of p -harmonic functions

Abstract

A p times continuously differentiable complex-valued function F = u + iv in a domain D subset of C is p-harmonic if.. satisfies the p-harmonic equation. Delta...Delta f = 0, where p is a positive integer. By using the generalized Salagean differential operator, we introduce a class of p-harmonic functions and investigate necessary and sufficient coefficient conditions, distortion bounds, extreme points, and convex combination of the class.