Properties of a Class of p-Harmonic Functions
ABSTRACT AND APPLIED ANALYSIS, 2013 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume:
- Publication Date: 2013
- Doi Number: 10.1155/2013/968627
- Journal Name: ABSTRACT AND APPLIED ANALYSIS
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Bursa Uludag University Affiliated: Yes
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.