Comptes Rendus
no. 1
Complex analysis
Generalizations of starlike harmonic functions
[Généralisations des fonctions harmoniques étoilées]

Présenté par : the Editorial Board

Jacek Dziok1 ; Maslina Darus2 ; Janusz Sokół3 ; Teodor Bulboacă4
1 Faculty of Mathematics and Natural Sciences, University of Rzeszów, ul. Prof. Pigonia 1, 35-310 Rzeszów, Poland
2 Faculty of Science and Technology, Universiti Kebangsaan Malaysia, Bangi 43600, Selangor Darul Ehsan, Malaysia
3 Department of Mathematics, Rzeszów University of Technology, Al. Powstańców Warszawy 12, 35-959 Rzeszów, Poland
4 Faculty of Mathematics and Computer Science, Babeş-Bolyai University, 400084 Cluj-Napoca, Romania
Comptes Rendus. Mathématique, Volume 354 (2016) no. 1, pp. 13-18.

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.

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.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2015.08.001
Mots clés : Harmonic functions, Ruscheweyh derivative, Subordination, Extreme points, Starlike functions
Jacek Dziok 1 ; Maslina Darus 2 ; Janusz Sokół 3 ; Teodor Bulboacă 4

1 Faculty of Mathematics and Natural Sciences, University of Rzeszów, ul. Prof. Pigonia 1, 35-310 Rzeszów, Poland
2 Faculty of Science and Technology, Universiti Kebangsaan Malaysia, Bangi 43600, Selangor Darul Ehsan, Malaysia
3 Department of Mathematics, Rzeszów University of Technology, Al. Powstańców Warszawy 12, 35-959 Rzeszów, Poland
4 Faculty of Mathematics and Computer Science, Babeş-Bolyai University, 400084 Cluj-Napoca, Romania 
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Jacek Dziok; Maslina Darus; Janusz Sokół; Teodor Bulboacă. Generalizations of starlike harmonic functions. Comptes Rendus. Mathématique, Volume 354 (2016) no. 1, pp. 13-18. doi : 10.1016/j.crma.2015.08.001. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2015.08.001/

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