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$% H. Irmak and R. K. Raina, The starlikeness and convexity of multivalent functions involving certain inequalities, Rev. Mat. Complut. 16 (2003), 391398.%$

The Starlikeness and Convexity of Multivalent Functions Involving Certain Inequalities

Hüseyin IRMAK and Ravinder K. RAINA
Department of Primary Education
Faculty of Education
Baskent University, Baglica Campus
Baglica-Etimesgut, Tr-06530, Ankara Turkey
Department of Mathematics
College of Technology and Engineering
Maharana Pratap University of Agriculture and Technology
Udaipur 313 001, Rajasthan India

Received: June 10, 2002
Accepted: December 18, 2002
ABSTRACT

In the present paper, a theorem for the starlikeness and convexity of multivalent functions involving certain inequalities is given. Some interesting consequences of the main result are also mentioned.

Key words: open unit disc, analytic, multivalently starlike, multivalently convex, Jack’s Lemma.
2000 Mathematics Subject Classification:
Primary 30C45.