Properties of a Class of p‐Harmonic Functions

Elif Yaşar and Sibel Yalçın

Abstract and Applied Analysis, 2013, vol. 2013, issue 1

Abstract: A p times continuously differentiable complex‐valued function F = u + iv in a domain D⊆ℂ is p‐harmonic if F satisfies the p‐harmonic equation Δ ⋯ ΔF = 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.

Date: 2013
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https://doi.org/10.1155/2013/968627

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:968627

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