Coefficient Estimates for Some Subclasses of Analytic and Bi-Univalent Functions Associated with Conic Domain
Journal: Sahand Communications in Mathematical Analysis (Vol.16, No. 1)Publication Date: 2019-10-13
Authors : Muhamamd Tahir; Nazar Khan; Qazi Zahoor Ahmad; Bilal Khan; Gul Mehtab Khan;
Page : 69-81
Keywords : Univalent function; Analytic function; Bi-univalent function; Subordination between analytic functions; Starlike and strongly starlike functions; Conic domain;
Abstract
The main objective of this investigation is to introduce certain new subclasses of the class $Sigma $ of bi-univalent functions by using concept of conic domain. Furthermore, we find non-sharp estimates on the first two Taylor-Maclaurin coefficients $ left vert a_{2}right vert $ and $left vert a_{3}right vert $ for functions in these new subclasses. We consider various corollaries and consequences of our main results. We also point out relevant connections to some of the earlier known developments.
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Last modified: 2019-10-14 16:37:35