Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: Research Article Inclusion Properties for Certain Subclasses of Analytic Functions Associated with the Dziok-Srivastava Operato | Hindawi Publishing Corporation Journal ofInequalities and Applications Volume 2007 Article ID 51079 10 pages doi 2007 51079 Research Article Inclusion Properties for Certain Subclasses of Analytic Functions Associated with the Dziok-Srivastava Operator Oh Sang Kwon and Nak Eun Cho Received 14 February 2007 Accepted 21 August 2007 Recommended by Andrea Laforgia The purpose of the present paper is to introduce several new classes of analytic functions defined by using the Choi-Saigo-Srivastava operator associated with the Dziok-Srivastava operator and to investigate various inclusion properties of these classes. Some interesting applications involving classes of integral operators are also considered. Copyright 2007 O. S. Kwon and N. E. Cho. This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use distribution and reproduction in any medium provided the original work is properly cited. 1. Introduction Let denote the class of functions of the form 00 f z z akzk k 2 which are analytic in the open unit disk U z z e C and z 1 . If f andg are analytic in U we say that f is subordinate to g written f g or f z g z if there exists a Schwarz function w analytic in U with w 0 0 and w z 1 z e U such that f z g w z z e U . In particular if the function g is univalent in U the above subordination is equivalent to f 0 g 0 and f U c g U . For 0 n h 1 we denote by y n n and n h the subclasses of consisting of all analytic functions which are respectively starlike of order n convex of order n close-to-convex of order n and type h in U. For various other interesting developments involving functions in the class the reader may be referred for example to the work of Srivastava and Owa 1 . Let N be the class of all functions 0 which are analytic and univalent in U and for which 0 U is convex with 0 0 1 and Re 0 z 0 for z e U. 2 Journal of Inequalities and Applications Making use of the principle of subordination
