Surveys in Mathematics and its Applications

ISSN 1842-6298 (electronic), 1843-7265 (print)
 Volume 7 (2012), 125 -- 136

STUDY ABOUT INCLUSION RELATIONSHIPS AND INTEGRAL PRESERVING PROPERTIES

Imran Faisal and Maslina Darus

Abstract. The object of the present paper is to investigate a family of integral operators defined on the space of meromorphic functions. By making use of these novel integral operators, we introduce and investigate several new subclasses of starlike, convex, close-to-convex, and quasi-convex meromorphic functions. In particular, we establish some inclusion relationships associated with the aforementioned integral operators. Several interesting integral-preserving properties are also considered.

2010 Mathematics Subject Classification: 30C45.
Keywords: Meromorphic functions; Meromorphic starlike functions; Meromorphic convex functions; Integral operators; Integral-preserving properties.

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Imran Faisal Maslina Darus
School of Mathematical Sciences, School of Mathematical Sciences,
Faculty of Science and Technology, Faculty of Science and Technology,
Universiti Kebangsaan Malaysia, Universiti Kebangsaan Malaysia,
Bangi 43600 Selangor D. Ehsan, Bangi 43600 Selangor D. Ehsan,
Malaysia. Malaysia.
e-mail: faisalmath@gmail.com e-mail: maslina@ukm.my

http://www.utgjiu.ro/math/sma