Properties of a class of \(p\)-harmonic functions (Q2319321)

Summary: A \(p\) times continuously differentiable complex-valued function \(F = u + i v\) in a domain \(D \subseteq \mathbb{C}\) is \(p\)-harmonic if \(F\) satisfies the \(p\)-harmonic equation \(\Delta \cdots \Delta F = 0\), 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.