Coefficients Bounds for Certain Classes of Analytic Functions of Complex Order
B. A. Frasin
Faculty of Science, Department of Mathematics, Al al-Bayt University, P.O. Box: 130095 Mafraq, Jordan.
T. Al-Hawary
Irbid National University, Faculty of Science and Technology, Department of Mathematics, P.O. Box: 2600 Irbid, Jordan.
M. Darus *
School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, Bangi 43600, Selangor D. Ehsan, Malaysia.
*Author to whom correspondence should be addressed.
Abstract
In this paper, we determine coefficients bounds for functions in certain subclasses of analytic functions of complex order, which are introduced here by means of the nonhomogeneous Cauchy-Euler differential equation of order m: Our main result contain some corollaries as special cases.
Keywords: Analytic functions, Coefficient bounds, Starlike functions of complex order, Convex functions of complex order, Nonhomogeneous Cauchy-Euler differential equations.