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2013 Properties of a Class of p -Harmonic Functions
Elif Yaşar, Sibel Yalçın
Abstr. Appl. Anal. 2013: 1-8 (2013). DOI: 10.1155/2013/968627


A p times continuously differentiable complex-valued function F = u + i v in a domain D is p -harmonic if F satisfies the p -harmonic equation Δ Δ 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.


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Elif Yaşar. Sibel Yalçın. "Properties of a Class of p -Harmonic Functions." Abstr. Appl. Anal. 2013 1 - 8, 2013.


Published: 2013
First available in Project Euclid: 27 February 2014

zbMATH: 07095544
MathSciNet: MR3065769
Digital Object Identifier: 10.1155/2013/968627

Rights: Copyright © 2013 Hindawi

Vol.2013 • 2013
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