tailieunhanh - Báo cáo hóa học: " Integral operators on new families of meromorphic functions of complex order"

Tuyển tập các báo cáo nghiên cứu về hóa học được đăng trên tạp chí hóa hoc quốc tế đề tài : Integral operators on new families of meromorphic functions of complex order | Mohammed and Darus Journal of Inequalities and Applications 2011 2011 121 http content 2011 1 121 RESEARCH 2 Journal of Inequalities and Applications a SpringerOpen Journal Open Access Integral operators on new families of meromorphic functions of complex order Aabed Mohammed and Maslina Darus Correspondence maslina@ukm. my School of Mathematical Sciences Faculty of Science and Technology Universiti Kebangsaan Malaysia 43600 Bangi Selangor Darul Ehsan Malaysia Abstract In this article we define and investigate new families of certain subclasses of meromorphic functions of complex order. Considering the new subclasses several properties for certain integral operators are derived. 2010 Mathematics Subject Classification 30C45. Keywords Analytic function meromorphic function integral operator 1 Introduction Let s denote the class of functions of the form f z 1 52 anzn z n 0 which are analytic in the punctured open unit disk U z e C 0 z 1 U 0 where U is the open unit disk U z e C z 1 . We say that a function f e s is meromorphic starlike of order Ỗ 0 Ỗ 1 and belongs to the class s d if it satisfies the inequality w f s. f z A function f e s is a meromorphic convex function of order Ỗ 0 Ỗ 1 iff satisfies the following inequality - 1 nft s L4 and we denote this class by sk d . For f e s Wang et al. 1 and Nehari and Netanyahu 2 introduced and studied the subclass SN b of s consisting of functions fz satisfying -M OM p 1 z e U . f z Springer 2011 Mohammed and Darus licensee Springer. This is an Open Access article distributed underthe terms of the Creative Commons Attribution License http licenses by which permits unrestricted use distribution and reproduction in any medium provided the original work is properly cited. Mohammed and Darus Journal of Inequalities and Applications 2011 2011 121 http content 2011 1 121 Page 2 of 12 Let A denote the

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