Properties of a Class of p-Harmonic Functions


YAŞAR E. , Yalcin S.

ABSTRACT AND APPLIED ANALYSIS, 2013 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume:
  • Publication Date: 2013
  • Doi Number: 10.1155/2013/968627
  • Title of Journal : ABSTRACT AND APPLIED ANALYSIS

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.