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 Subordination Results on Subclasses Concerning Sakaguchi Functions | Hindawi Publishing Corporation Journal of Inequalities and Applications Volume 2009 Article ID 574014 7 pages doi 2009 574014 Research Article Subordination Results on Subclasses Concerning Sakaguchi Functions B. A. Frasin1 and M. Darus2 1 Department of Mathematics Al al-Bayt University . Box 130095 Mafraq Jordan 2 School of Mathematical Sciences Faculty of Science and Technology Universiti Kebangsaan Malaysia Bangi 43600 Selangor D. Ehsan Malaysia Correspondence should be addressed to M. Darus maslina@ Received 30 July 2009 Accepted 6 October 2009 Recommended by Ramm Mohapatra We derive some subordination results for the subclasses S a f T a t S0 a t and T0 a t of analytic functions concerning with Sakaguchi functions. Several corollaries and consequences of the main results are also considered. Copyright 2009 B. A. Frasin and M. Darus. 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 and Definitions Let A denote the class of functions of the form TO f z z 2 O-nZn n 2 which are analytic in the open unit disc A z z 1 . A function f z e A is said to be in the class S a t if it satisfies RJ d - hzf V I 1 f z - f tz J a t 1 t 1 for some 0 a 1 and for all z e A. The class S a t was introduced and studied by Owa et al. 4 where the class S 0 -1 was introduced by Sakaguchi 5 . Therefore a function f z e S a -1 is called Sakaguchi function of order a. 2 Journal of Inequalities and Applications We also denote by T a t the subclass of A consisting of all functions f z such that zf z e S a tỴ We note that S a 0 S a the usual star-like function of order a and T a 0 K a the usual convex function of order a. We begin by recalling each of the following coefficient inequalities associated with the function classes S a t and T a t . Theorem see 4 . If f z e A satisfies ffi n - .
