E. A. Eljamal, M. Darus, “Certain class of harmonic multivalent functions”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2015, Volume 25, Issue 3,Pages <nobr>388

MATHEMATICS

Certain class of harmonic multivalent functions

E. A. Eljamal^a, M. Darus^b

^a Department of Mathematics, Faculty of Science, Al Mergeb University, Khoms, Libya
^b School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, Selangor D. Ehsan, Bangi, 43600, Malaysia

Abstract: Making use of the generalized derivative operator, we introduce a new subclass of harmonic multivalent functions. We obtain the coefficient bounds, distortion inequalities and inclusion relationships involving the neighborhoods of subclasses of harmonic multivalent functions.

Keywords: harmonic multivalent functions, derivative operator, neighborhood.

UDC: 517.53

MSC: 30C45

Received: 29.04.2015

Language: English

DOI: 10.20537/vm150309