Volume 3,  Issue 1, 2002

Article 9

ON HARMONIC FUNCTIONS BY THE HADAMARD PRODUCT

M. OZTURK, S. YALCIN AND M. YAMANKARADENIZ

ULUDAG UNIVERSITY
FACULTY OF SCIENCE
DEPARTMENT OF MATHEMATICS
16069 BURSA/TURKEY.
E-Mail: ometin@uludag.edu.tr

Received 11 May, 2001; 11 October, 2001.
Communicated by: S.S. Dragomir

ABSTRACT.    A function $f=u+iv$ defined in the domain $D\subset \Bbb{C}$ is harmonic in $%% D$ if $u$, $v$ are real harmonic. Such functions can be represented as $%% f=h+\bar g$ where $h$, $g$ are analytic in $D$. In this paper the class of harmonic functions constructed by the Hadamard product in unit disk, and properties of some of its subclasses are searched.
Key words:
Harmonic functions, Hadamard product, Extremal problems.

2000 Mathematics Subject Classification:
30C45, 31A05.

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