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http://dx.doi.org/10.5666/KMJ.2019.59.3.493

Initial Maclaurin Coefficient Bounds for New Subclasses of Analytic and m-Fold Symmetric Bi-Univalent Functions Defined by a Linear Combination  

Srivastava, Hari M. (Department of Mathematics and Statistics, University of Victoria)
Wanas, Abbas Kareem (Department of Mathematics, College of Science, University of Al-Qadisiyah)
Publication Information
Kyungpook Mathematical Journal / v.59, no.3, 2019 , pp. 493-503 More about this Journal
Abstract
In the present investigation, we define two new subclasses of analytic and m-fold symmetric bi-univalent functions defined by a linear combination in the open unit disk U. Furthermore, for functions in each of the subclasses introduced here, we establish upper bounds for the initial coefficients ${\mid}a_{m+1}{\mid}$ and ${\mid}a_{2m+1}{\mid}$. Also, we indicate certain special cases for our results.
Keywords
analytic functions; univalent functions; m-Fold symmetric biunivalent functions; coefficient bounds;
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