Properties of a Class of -Harmonic Functions

Elif Yaşar and Sibel Yalçın

Abstract and Applied Analysis, 2013, vol. 2013, 1-8

Abstract:

A times continuously differentiable complex-valued function in a domain is -harmonic if satisfies the -harmonic equation , where is a positive integer. By using the generalized Salagean differential operator, we introduce a class of -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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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:968627

DOI: 10.1155/2013/968627

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