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Comptes Rendus Mathématique
Volume 354, n° 1
pages 13-18 (janvier 2016)
Doi : 10.1016/j.crma.2015.08.001
Received : 20 June 2015 ;  accepted : 30 July 2015
Generalizations of starlike harmonic functions
Généralisations des fonctions harmoniques étoilées
 

Jacek Dziok a , Maslina Darus b , Janusz Sokół c , Teodor Bulboacă d
a Faculty of Mathematics and Natural Sciences, University of Rzeszów, ul. Prof. Pigonia 1, 35-310 Rzeszów, Poland 
b Faculty of Science and Technology, Universiti Kebangsaan Malaysia, Bangi 43600, Selangor Darul Ehsan, Malaysia 
c Department of Mathematics, Rzeszów University of Technology, Al. Powstańców Warszawy 12, 35-959 Rzeszów, Poland 
d Faculty of Mathematics and Computer Science, Babeş-Bolyai University, 400084 Cluj-Napoca, Romania 

Abstract

In this paper we investigate some generalizations of classes of harmonic functions. By using the extreme points theory we obtain coefficients estimates distortion theorems and integral mean inequalities in these classes of functions.

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Résumé

Dans cette Note, nous étudions des généralisations des classes de fonctions harmoniques liées aux fonctions de Janowski. En utilisant la théorie des points extrémaux, nous obtenons des estimations de coefficients, des théorèmes de distorsion et des inégalités de moyenne intégrale dans ces classes de fonctions.

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Keywords : Harmonic functions, Ruscheweyh derivative, Subordination, Extreme points, Starlike functions




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