Properties of a Class of -Harmonic Functions

Properties of a Class of -Harmonic Functions

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 c...

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Main Authors: Elif Yaşar, Sibel Yalçın
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2013/968627
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spelling doaj-792bf3e979e34169a68fc5b0f68bc0172020-11-24T20:59:53ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/968627968627Properties of a Class of -Harmonic FunctionsElif Yaşar0Sibel Yalçın1Department of Mathematics, Faculty of Arts and Sciences, Uludag University, 16059 Bursa, TurkeyDepartment of Mathematics, Faculty of Arts and Sciences, Uludag University, 16059 Bursa, TurkeyA 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.http://dx.doi.org/10.1155/2013/968627
collection DOAJ
language English
format Article
sources DOAJ
author Elif Yaşar
Sibel Yalçın
spellingShingle Elif Yaşar
Sibel Yalçın
Properties of a Class of -Harmonic Functions
Abstract and Applied Analysis
author_facet Elif Yaşar
Sibel Yalçın
author_sort Elif Yaşar
title Properties of a Class of -Harmonic Functions
title_short Properties of a Class of -Harmonic Functions
title_full Properties of a Class of -Harmonic Functions
title_fullStr Properties of a Class of -Harmonic Functions
title_full_unstemmed Properties of a Class of -Harmonic Functions
title_sort properties of a class of -harmonic functions
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2013-01-01
description 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.
url http://dx.doi.org/10.1155/2013/968627
work_keys_str_mv AT elifyasar propertiesofaclassofharmonicfunctions
AT sibelyalcın propertiesofaclassofharmonicfunctions
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